메뉴 건너뛰기




Volumn 2, Issue 4, 2009, Pages 701-746

Isometry groups of non-positively curved spaces: discrete subgroups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85167505827     PISSN: 17538416     EISSN: 17538424     Source Type: Journal    
DOI: 10.1112/jtopol/jtp027     Document Type: Article
Times cited : (67)

References (98)
  • 1
    • 0010070167 scopus 로고
    • Réseaux arithmétiques et commensurateur d'après G. A. Margulis
    • N. A'Campo, M. Burger, Réseaux arithmétiques et commensurateur d'après G. A. Margulis, Invent. Math., 1994, 116 (1–3), 1–25
    • (1994) Invent. Math. , vol.116 , Issue.1-3 , pp. 1-25
    • A'Campo, N.1    Burger, M.2
  • 3
    • 34547419194 scopus 로고    scopus 로고
    • The SQ-universality and residual properties of relatively hyperbolic groups
    • G. Arzhantseva, A. Minasyan, D. Osin, The SQ-universality and residual properties of relatively hyperbolic groups, J. Algebra, 2007, 315 (1), 165–177
    • (2007) J. Algebra , vol.315 , Issue.1 , pp. 165-177
    • Arzhantseva, G.1    Minasyan, A.2    Osin, D.3
  • 4
    • 30444451793 scopus 로고    scopus 로고
    • Factor and normal subgroup theorems for lattices in products of groups
    • U. Bader, Y. Shalom, Factor and normal subgroup theorems for lattices in products of groups, Invent. Math., 2006, 163 (2), 415–454
    • (2006) Invent. Math. , vol.163 , Issue.2 , pp. 415-454
    • Bader, U.1    Shalom, Y.2
  • 6
    • 0000740909 scopus 로고
    • Existence of flat tori in analytic manifolds of nonpositive curvature
    • V. Bangert, V. Schroeder, Existence of flat tori in analytic manifolds of nonpositive curvature, Ann. Sci. École Norm. Sup., 1991, 24 (4), 605–634, MR MR1132759 (92k:53110), 5
    • (1991) Ann. Sci. École Norm. Sup. , vol.24 , Issue.4 , pp. 605-634
    • Bangert, V.1    Schroeder, V.2
  • 9
    • 0141564835 scopus 로고    scopus 로고
    • Automorphism groups of trees acting locally with affine permutations
    • N. Benakli, Y. Glasner, Automorphism groups of trees acting locally with affine permutations, Geom. Dedicata, 2002, 89, 1–24
    • (2002) Geom. Dedicata , vol.89 , pp. 1-24
    • Benakli, N.1    Glasner, Y.2
  • 12
    • 0001570729 scopus 로고
    • Density properties for certain subgroups of semi-simple groups without compact components
    • A. Borel, Density properties for certain subgroups of semi-simple groups without compact components, Ann. of Math., 1960, 72 (2), 179–188
    • (1960) Ann. of Math. , vol.72 , Issue.2 , pp. 179-188
    • Borel, A.1
  • 13
    • 0002330412 scopus 로고
    • Density and maximality of arithmetic subgroups
    • A. Borel, Density and maximality of arithmetic subgroups, J. Reine Angew. Math., 1966, 224, 78–89
    • (1966) J. Reine Angew. Math. , vol.224 , pp. 78-89
    • Borel, A.1
  • 14
    • 0000198710 scopus 로고
    • Homomorphismes “abstraits” de groupes algébriques simples
    • A. Borel, J. Tits, Homomorphismes “abstraits” de groupes algébriques simples, Ann. of Math., 1973, 97 (2), 499–571
    • (1973) Ann. of Math. , vol.97 , Issue.2 , pp. 499-571
    • Borel, A.1    Tits, J.2
  • 15
    • 85167514804 scopus 로고
    • Éléments de mathématique. Première partie. (Fascicule III.) Livre III; Topologie générale. Chap. 3: Groupes topologiques. Nombres réels
    • Paris, Hermann, Troisième édition revue et augmentée, Actualités Sci. Indust
    • N. Bourbaki, Éléments de mathématique. Première partie. (Fascicule III.) Livre III; Topologie générale. Chap. 3: Groupes topologiques. Nombres réels, 1960, 1143, Paris, Hermann, Troisième édition revue et augmentée, Actualités Sci. Indust., Chap. 4
    • (1960) Chap. 4 , vol.1143
    • Bourbaki, N.1
  • 17
    • 39049159078 scopus 로고    scopus 로고
    • A topological Tits alternative
    • E. Breuillard, T. Gelander, A topological Tits alternative, Ann. of Math., 2007, 166 (2), 427–474, 2
    • (2007) Ann. of Math. , vol.166 , Issue.2 , pp. 427-474
    • Breuillard, E.1    Gelander, T.2
  • 20
    • 0036435239 scopus 로고    scopus 로고
    • Continuous bounded cohomology and applications to rigidity theory
    • M. Burger, N. Monod, Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal., 2002, 12 (2), 219–280
    • (2002) Geom. Funct. Anal. , vol.12 , Issue.2 , pp. 219-280
    • Burger, M.1    Monod, N.2
  • 21
    • 0141693742 scopus 로고    scopus 로고
    • Groups acting on trees: from local to global structure
    • M. Burger, S. Mozes, Groups acting on trees: from local to global structure, Inst. Hautes Études Sci. Publ. Math., 2000, (92), 113–150
    • (2000) Inst. Hautes Études Sci. Publ. Math. , Issue.92 , pp. 113-150
    • Burger, M.1    Mozes, S.2
  • 23
    • 85167503152 scopus 로고    scopus 로고
    • Linear representations and arithmeticity for lattices in products of trees
    • M. Burger, S. Mozes, R. J. Zimmer, Linear representations and arithmeticity for lattices in products of trees, FIM Preprint, 2004
    • FIM Preprint, 2004
    • Burger, M.1    Mozes, S.2    Zimmer, R.J.3
  • 24
    • 0013524664 scopus 로고
    • Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold
    • M. Burger, V. Schroeder, Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold, Math. Ann., 1987, 276 (3), 505–514
    • (1987) Math. Ann. , vol.276 , Issue.3 , pp. 505-514
    • Burger, M.1    Schroeder, V.2
  • 25
    • 0001276581 scopus 로고    scopus 로고
    • Introductory notes on Richard Thompson's groups
    • J. W. Cannon, W. J. Floyd, W. R. Parry, Introductory notes on Richard Thompson's groups, Enseign. Math., 1996, 42 (2), 215–256, 3-4
    • (1996) Enseign. Math. , vol.42 , Issue.2 , pp. 215-256
    • Cannon, J.W.1    Floyd, W.J.2    Parry, W.R.3
  • 26
    • 67849097262 scopus 로고    scopus 로고
    • Amenable groups and Hadamard spaces with a totally disconnected isometry group
    • P.-E. Caprace, Amenable groups and Hadamard spaces with a totally disconnected isometry group, Comment. Math. Helv., 2009, 84, 437–455
    • (2009) Comment. Math. Helv. , vol.84 , pp. 437-455
    • Caprace, P.-E.1
  • 29
    • 85167512931 scopus 로고    scopus 로고
    • Fixed points and amenability in non-positive curvature
    • P.-E. Caprace, N. Monod, Fixed points and amenability in non-positive curvature, Preprint, 2008
    • Preprint, 2008
    • Caprace, P.-E.1    Monod, N.2
  • 30
    • 49649104413 scopus 로고    scopus 로고
    • Some properties of non-positively curved lattices
    • P.-E. Caprace, N. Monod, Some properties of non-positively curved lattices, C. R. Math. Acad. Sci. Paris, 2008, 346 (15-16), 857–862
    • (2008) C. R. Math. Acad. Sci. Paris , vol.346 , Issue.15-16 , pp. 857-862
    • Caprace, P.-E.1    Monod, N.2
  • 31
    • 85167506513 scopus 로고    scopus 로고
    • Isometry groups of non-positively curved spaces: structure theory
    • P.-E. Caprace, N. Monod, Isometry groups of non-positively curved spaces: structure theory, J. Topol., 2009, 2, 661–700
    • (2009) J. Topol. , vol.2 , pp. 661-700
    • Caprace, P.-E.1    Monod, N.2
  • 32
    • 0034179001 scopus 로고    scopus 로고
    • Spaces with nonpositive curvature and their ideal boundaries
    • C. B. Croke, B. Kleiner, Spaces with nonpositive curvature and their ideal boundaries, Topology, 2000, 39 (3), 549–556
    • (2000) Topology , vol.39 , Issue.3 , pp. 549-556
    • Croke, C.B.1    Kleiner, B.2
  • 33
    • 0001478058 scopus 로고    scopus 로고
    • Sous-groupes distingués et quotients des groupes hyperboliques
    • T. Delzant, Sous-groupes distingués et quotients des groupes hyperboliques, Duke Math. J., 1996, 83 (3), 661–682
    • (1996) Duke Math. J. , vol.83 , Issue.3 , pp. 661-682
    • Delzant, T.1
  • 34
    • 0000998512 scopus 로고
    • Lattices in spaces of nonpositive curvature
    • P. Eberlein, Lattices in spaces of nonpositive curvature, Ann. of Math., 1980, 111 (2), 435–476, 3
    • (1980) Ann. of Math. , vol.111 , Issue.2 , pp. 435-476
    • Eberlein, P.1
  • 35
    • 0001824242 scopus 로고
    • Isometry groups of simply connected manifolds of nonpositive curvature II
    • P. Eberlein, Isometry groups of simply connected manifolds of nonpositive curvature II, Acta Math., 1982, 149 (1–2), 41–69
    • (1982) Acta Math. , vol.149 , Issue.1-2 , pp. 41-69
    • Eberlein, P.1
  • 36
    • 84972539458 scopus 로고
    • Euclidean de Rham factor of a lattice of nonpositive curvature
    • P. Eberlein, Euclidean de Rham factor of a lattice of nonpositive curvature, J. Differential Geom., 1983, 18 (2), 209–220
    • (1983) J. Differential Geom. , vol.18 , Issue.2 , pp. 209-220
    • Eberlein, P.1
  • 40
    • 0032221787 scopus 로고    scopus 로고
    • Relatively hyperbolic groups
    • B. Farb, Relatively hyperbolic groups, Geom. Funct. Anal., 1998, 8 (5), 810–840
    • (1998) Geom. Funct. Anal. , vol.8 , Issue.5 , pp. 810-840
    • Farb, B.1
  • 41
    • 84890894977 scopus 로고    scopus 로고
    • Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices
    • B. Farb, D. Fisher
    • B. Farb, G. C. Hruska, A. Thomas, B. Farb, D. Fisher, Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices, Geometry, Topology and Rigidity, to appear
    • to appear
    • Farb, B.1    Hruska, G.C.2    Thomas, A.3
  • 42
    • 71249099021 scopus 로고    scopus 로고
    • Isometries, rigidity and universal covers
    • B. Farb, S. Weinberger, Isometries, rigidity and universal covers, Ann. of Math., 2008, 168 (2), 915–940, 3
    • (2008) Ann. of Math. , vol.168 , Issue.2 , pp. 915-940
    • Farb, B.1    Weinberger, S.2
  • 43
    • 84989812919 scopus 로고    scopus 로고
    • The action of Thompson's group on a CAT(0) boundary
    • D. Farley, The action of Thompson's group on a CAT(0) boundary, Groups Geom. Dyn., 2008, 2 (2), 185–222
    • (2008) Groups Geom. Dyn. , vol.2 , Issue.2 , pp. 185-222
    • Farley, D.1
  • 44
    • 55349114216 scopus 로고    scopus 로고
    • Amenable actions, free products and a fixed point property
    • Y. Glasner, N. Monod, Amenable actions, free products and a fixed point property, Bull. Lond. Math. Soc., 2007, 39 (1), 138–150
    • (2007) Bull. Lond. Math. Soc. , vol.39 , Issue.1 , pp. 138-150
    • Glasner, Y.1    Monod, N.2
  • 45
    • 84968515938 scopus 로고
    • On an arcwise connected subgroup of a Lie group
    • M. Goto, On an arcwise connected subgroup of a Lie group, Proc. Amer. Math. Soc., 1969, 20, 157–162
    • (1969) Proc. Amer. Math. Soc. , vol.20 , pp. 157-162
    • Goto, M.1
  • 46
    • 84966226808 scopus 로고
    • Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
    • D. Gromoll, J. A. Wolf, Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature, Bull. Amer. Math. Soc., 1971, 77, 545–552
    • (1971) Bull. Amer. Math. Soc. , vol.77 , pp. 545-552
    • Gromoll, D.1    Wolf, J.A.2
  • 47
    • 0003195390 scopus 로고    scopus 로고
    • M. Gromov, Hyperbolic groups, 75–263, Essays in group theory, Mathematical Sciences Research Institute Publications 8 (Springer, New York, 1987)
    • Hyperbolic groups , pp. 75-263
    • Gromov, M.1
  • 48
    • 0002874575 scopus 로고    scopus 로고
    • M. Gromov, Asymptotic invariants of infinite groups, 1–295, Geometric Group Theory 2 (Sussex, 1991) (Cambridge), London Mathematical Society Lecture Note Series 182 (Cambridge University Press, 1993)
    • Asymptotic invariants of infinite groups , pp. 1-295
    • Gromov, M.1
  • 49
    • 0040248935 scopus 로고    scopus 로고
    • Réseaux de Coxeter-Davis et commensurateurs
    • F. Haglund, Réseaux de Coxeter-Davis et commensurateurs, Ann. Inst. Fourier, 1998, 48 (3), 649–666
    • (1998) Ann. Inst. Fourier , vol.48 , Issue.3 , pp. 649-666
    • Haglund, F.1
  • 50
    • 45849099446 scopus 로고    scopus 로고
    • Finite index subgroups of graph products
    • F. Haglund, Finite index subgroups of graph products, Geom. Dedicata, 2008, 135, 167–209
    • (2008) Geom. Dedicata , vol.135 , pp. 167-209
    • Haglund, F.1
  • 51
    • 0002005922 scopus 로고
    • On homogeneous manifolds of negative curvature
    • E. Heintze, On homogeneous manifolds of negative curvature, Math. Ann., 1974, 211, 23–34
    • (1974) Math. Ann. , vol.211 , pp. 23-34
    • Heintze, E.1
  • 52
    • 0001988113 scopus 로고
    • Asymptotic properties of unitary representations
    • R. E. Howe, C. C. Moore, Asymptotic properties of unitary representations, J. Funct. Anal., 1979, 32 (1), 72–96
    • (1979) J. Funct. Anal. , vol.32 , Issue.1 , pp. 72-96
    • Howe, R.E.1    Moore, C.C.2
  • 54
    • 0141764900 scopus 로고    scopus 로고
    • Double ergodicity of the Poisson boundary and applications to bounded cohomology
    • V. A. Kaimanovich, Double ergodicity of the Poisson boundary and applications to bounded cohomology, Geom. Funct. Anal., 2003, 13 (4), 852–861
    • (2003) Geom. Funct. Anal. , vol.13 , Issue.4 , pp. 852-861
    • Kaimanovich, V.A.1
  • 55
    • 3242766579 scopus 로고
    • Surfaces of transitivity of a semisimple subgroup of the group of motions of a symmetric space
    • F. I. Karpelevič, Surfaces of transitivity of a semisimple subgroup of the group of motions of a symmetric space, Doklady Akad. Nauk SSSR, 1953, 93 (N.S.), 401–404
    • (1953) Doklady Akad. Nauk SSSR , vol.93 , Issue.N.S. , pp. 401-404
    • Karpelevič, F.I.1
  • 56
    • 0033432203 scopus 로고    scopus 로고
    • The local structure of length spaces with curvature bounded above
    • B. Kleiner, The local structure of length spaces with curvature bounded above, Math. Z., 1999, 231 (3), 409–456
    • (1999) Math. Z. , vol.231 , Issue.3 , pp. 409-456
    • Kleiner, B.1
  • 57
    • 32144451019 scopus 로고    scopus 로고
    • Rigidity of invariant convex sets in symmetric spaces
    • B. Kleiner, B. Leeb, Rigidity of invariant convex sets in symmetric spaces, Invent. Math., 2006, 163 (3), 657–676
    • (2006) Invent. Math. , vol.163 , Issue.3 , pp. 657-676
    • Kleiner, B.1    Leeb, B.2
  • 58
    • 0034344443 scopus 로고    scopus 로고
    • Some functorial properties of the Bruhat-Tits building
    • E. Landvogt, Some functorial properties of the Bruhat-Tits building, J. Reine Angew. Math., 2000, 518, 213–241
    • (2000) J. Reine Angew. Math. , vol.518 , pp. 213-241
    • Landvogt, E.1
  • 59
    • 84972492902 scopus 로고
    • Compact manifolds of nonpositive curvature
    • H. B. Lawson, S.-T. Yau, Jr, Compact manifolds of nonpositive curvature, J. Differential Geometry, 1972, 7, 211–228
    • (1972) J. Differential Geometry , vol.7 , pp. 211-228
    • Lawson, H.B.1    Yau, S.-T.2
  • 60
    • 0000971341 scopus 로고
    • On isomorphic matrix representations of infinite groups
    • A. I. Mal'cev, On isomorphic matrix representations of infinite groups, Rec. Math. [Mat. Sbornik], 1940, (50), 405–422, N.S. 8
    • (1940) Rec. Math. [Mat. Sbornik] , Issue.50 , pp. 405-422
    • Mal'cev, A.I.1
  • 62
    • 4344695903 scopus 로고    scopus 로고
    • Ideal bicombings for hyperbolic groups and applications
    • I. Mineyev, N. Monod, Y. Shalom, Ideal bicombings for hyperbolic groups and applications, Topology, 2004, 43 (6), 1319–1344
    • (2004) Topology , vol.43 , Issue.6 , pp. 1319-1344
    • Mineyev, I.1    Monod, N.2    Shalom, Y.3
  • 64
    • 23944495627 scopus 로고    scopus 로고
    • Arithmeticity vs. nonlinearity for irreducible lattices
    • N. Monod, Arithmeticity vs. nonlinearity for irreducible lattices, Geom. Dedicata, 2005, 112, 225–237
    • (2005) Geom. Dedicata , vol.112 , pp. 225-237
    • Monod, N.1
  • 65
    • 33749462051 scopus 로고    scopus 로고
    • Superrigidity for irreducible lattices and geometric splitting
    • N. Monod, Superrigidity for irreducible lattices and geometric splitting, J. Amer. Math. Soc., 2006, 19 (4), 781–814
    • (2006) J. Amer. Math. Soc. , vol.19 , Issue.4 , pp. 781-814
    • Monod, N.1
  • 66
    • 33845807777 scopus 로고    scopus 로고
    • On co-amenability for groups and von Neumann algebras
    • N. Monod, S. Popa, On co-amenability for groups and von Neumann algebras, C. R. Math. Acad. Sci. Soc. R. Can., 2003, 25 (3), 82–87
    • (2003) C. R. Math. Acad. Sci. Soc. R. Can. , vol.25 , Issue.3 , pp. 82-87
    • Monod, N.1    Popa, S.2
  • 67
    • 0009414045 scopus 로고
    • The extensibility of local Lie groups of transformations and groups on surfaces
    • G. D. Mostow, The extensibility of local Lie groups of transformations and groups on surfaces, Ann. of Math., 1950, 52 (2), 606–636
    • (1950) Ann. of Math. , vol.52 , Issue.2 , pp. 606-636
    • Mostow, G.D.1
  • 68
    • 0001882192 scopus 로고
    • Some new decomposition theorems for semi-simple groups
    • G. D. Mostow, Some new decomposition theorems for semi-simple groups, Mem. Amer. Math. Soc., 1955, 1955 (14), 31–54
    • (1955) Mem. Amer. Math. Soc. , vol.1955 , Issue.14 , pp. 31-54
    • Mostow, G.D.1
  • 70
    • 30344434601 scopus 로고    scopus 로고
    • Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
    • D. Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc., 2006, 179 (843), vi + 100
    • (2006) Mem. Amer. Math. Soc. , vol.179 , Issue.843
    • Osin, D.1
  • 71
    • 0001670151 scopus 로고    scopus 로고
    • Compact subgroups of linear algebraic groups
    • R. Pink, Compact subgroups of linear algebraic groups, J. Algebra, 1998, 206 (2), 438–504
    • (1998) J. Algebra , vol.206 , Issue.2 , pp. 438-504
    • Pink, R.1
  • 72
    • 0001169077 scopus 로고
    • Strong approximation for semi-simple groups over function fields
    • G. Prasad, Strong approximation for semi-simple groups over function fields, Ann. of Math., 1977, 105 (2), 553–572, 3
    • (1977) Ann. of Math. , vol.105 , Issue.2 , pp. 553-572
    • Prasad, G.1
  • 73
    • 0010563931 scopus 로고
    • Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
    • G. Prasad, Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits, Bull. Soc. Math. France, 1982, 110 (2), 197–202
    • (1982) Bull. Soc. Math. France , vol.110 , Issue.2 , pp. 197-202
    • Prasad, G.1
  • 76
    • 0033567764 scopus 로고    scopus 로고
    • Construction de réseaux en théorie de Kac–Moody
    • B. Rémy, Construction de réseaux en théorie de Kac–Moody, C. R. Acad. Sc. Paris, 1999, 329, 475–478
    • (1999) C. R. Acad. Sc. Paris , vol.329 , pp. 475-478
    • Rémy, B.1
  • 80
    • 0034349067 scopus 로고    scopus 로고
    • Rigidity of commensurators and irreducible lattices
    • Y. Shalom, Rigidity of commensurators and irreducible lattices, Invent. Math., 2000, 141 (1), 1–54
    • (2000) Invent. Math. , vol.141 , Issue.1 , pp. 1-54
    • Shalom, Y.1
  • 83
    • 40249118515 scopus 로고    scopus 로고
    • Lattices acting on right-angled buildings
    • A. Thomas, Lattices acting on right-angled buildings, Algebr. Geom. Topol., 2006, 6, 1215–1238 (electronic)
    • (2006) Algebr. Geom. Topol. , vol.6 , pp. 1215-1238
    • Thomas, A.1
  • 84
    • 0003967369 scopus 로고    scopus 로고
    • Princeton, NJ, Silvio Levy; Princeton University Press, Princeton Mathematical Series
    • W. P. Thurston, Three-dimensional geometry and topology, 1997, 35, Princeton, NJ, Silvio Levy; Princeton University Press, vol. 1, Princeton Mathematical Series
    • (1997) Three-dimensional geometry and topology , vol.35
    • Thurston, W.P.1
  • 85
    • 0001736939 scopus 로고
    • Algebraic and abstract simple groups
    • J. Tits, Algebraic and abstract simple groups, Ann. of Math., 1964, 80 (2), 313–329
    • (1964) Ann. of Math. , vol.80 , Issue.2 , pp. 313-329
    • Tits, J.1
  • 86
    • 0000644892 scopus 로고
    • Free subgroups in linear groups
    • J. Tits, Free subgroups in linear groups, J. Algebra, 1972, 20, 250–270
    • (1972) J. Algebra , vol.20 , pp. 250-270
    • Tits, J.1
  • 87
    • 0000343919 scopus 로고
    • Uniqueness and presentation of Kac-Moody groups over fields
    • J. Tits, Uniqueness and presentation of Kac-Moody groups over fields, J. Algebra, 1987, 105 (2), 542–573
    • (1987) J. Algebra , vol.105 , Issue.2 , pp. 542-573
    • Tits, J.1
  • 88
    • 0003604603 scopus 로고
    • Berlin, Springer, III, Encyclopaedia of Mathematical Sciences
    • È. B. Vinberg, Lie groups and Lie algebras, 1994, 41, Berlin, Springer, III, Encyclopaedia of Mathematical Sciences
    • (1994) Lie groups and Lie algebras , vol.41
    • Vinberg, È.B.1
  • 91
    • 84976156477 scopus 로고
    • Groups with every proper quotient finite
    • J. S. Wilson, Groups with every proper quotient finite, Proc. Camb. Philos. Soc., 1971, 69, 373–391
    • (1971) Proc. Camb. Philos. Soc. , vol.69 , pp. 373-391
    • Wilson, J.S.1
  • 92
    • 2442613976 scopus 로고    scopus 로고
    • Cubulating small cancellation groups
    • D. T. Wise, Cubulating small cancellation groups, Geom. Funct. Anal., 2004, 14 (1), 150–214
    • (2004) Geom. Funct. Anal. , vol.14 , Issue.1 , pp. 150-214
    • Wise, D.T.1
  • 93
    • 59149088444 scopus 로고    scopus 로고
    • Quasi-isometric rigidity of higher rank S-arithmetic lattices
    • K. Wortman, Quasi-isometric rigidity of higher rank S-arithmetic lattices, Geom. Topol., 2007, 11, 995–1048
    • (2007) Geom. Topol. , vol.11 , pp. 995-1048
    • Wortman, K.1
  • 94
    • 0003153916 scopus 로고
    • On an arcwise connected subgroup of a Lie group
    • H. Yamabe, On an arcwise connected subgroup of a Lie group, Osaka Math. J., 1950, 2, 13–14
    • (1950) Osaka Math. J. , vol.2 , pp. 13-14
    • Yamabe, H.1
  • 95
    • 0000965394 scopus 로고
    • Problem section
    • S. T. Yau, Problem section, Ann. of Math. Stud., 1982, 102, 669–706
    • (1982) Ann. of Math. Stud. , vol.102 , pp. 669-706
    • Yau, S.T.1
  • 96
    • 0001559020 scopus 로고
    • Amenable ergodic group actions and an application to Poisson boundaries of random walks
    • R. J. Zimmer, Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Functional Analysis, 1978, 27 (3), 350–372
    • (1978) J. Functional Analysis , vol.27 , Issue.3 , pp. 350-372
    • Zimmer, R.J.1
  • 98
    • 38249033431 scopus 로고
    • Amenable actions and dense subgroups of Lie groups
    • R. J. Zimmer, Amenable actions and dense subgroups of Lie groups, J. Funct. Anal., 1987, 72 (1), 58–64
    • (1987) J. Funct. Anal. , vol.72 , Issue.1 , pp. 58-64
    • Zimmer, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.