메뉴 건너뛰기




Volumn 207, Issue 1, 2002, Pages 31-60

Groups acting on Cantor sets and the end structure of graphs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036868491     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2002.207.31     Document Type: Article
Times cited : (7)

References (26)
  • 1
    • 0001559408 scopus 로고
    • On groups acting on locally finite graphs
    • Ber, MR 37 #4154, Zbl 0164.02801
    • [Ber] G.M. Bergman, On groups acting on locally finite graphs, Ann. of Math., 88 (1968), 335-340, MR 37 #4154, Zbl 0164.02801.
    • (1968) Ann. of Math. , vol.88 , pp. 335-340
    • Bergman, G.M.1
  • 2
    • 0002829304 scopus 로고
    • Bounding the complexity of simplicial group actions on trees
    • BesF, MR 92c:20044, Zbl 9724.20919
    • [BesF] M. Bestvina and M. Feighn, Bounding the complexity of simplicial group actions on trees, Invent. Math., 103 (1991), 449-469, MR 92c:20044, Zbl 9724.20919.
    • (1991) Invent. Math. , vol.103 , pp. 449-469
    • Bestvina, M.1    Feighn, M.2
  • 3
    • 0032389284 scopus 로고    scopus 로고
    • A topological charactevisation of hyperbolic groups
    • Bo1, MR 99c:20048, Zbl 0906.20022
    • [Bo1] B.H. Bowditch, A topological charactevisation of hyperbolic groups, J. Amer. Math. Soc., 11 (1998), 643-667, MR 99c:20048, Zbl 0906.20022.
    • (1998) J. Amer. Math. Soc. , vol.11 , pp. 643-667
    • Bowditch, B.H.1
  • 4
    • 22844454032 scopus 로고    scopus 로고
    • Connectedness properties of limit sets
    • Bo2, MR 2000d:20056, Zbl 0938.20033
    • [Bo2] _, Connectedness properties of limit sets, Trans. Amer. Math. Soc., 351 (1999), 3673-3686, MR 2000d:20056, Zbl 0938.20033.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 3673-3686
  • 5
    • 0002606721 scopus 로고    scopus 로고
    • Convergence groups and configuration spaces
    • Bo3, de Gruyter, MR 2001d:20035, Zbl 0952.20032
    • [Bo3] _, Convergence groups and configuration spaces, in 'Group Theory Down Under' (ed. J. Cossey, C.F. Miller, W.D. Neumann and M. Shapiro), de Gruyter, 1999, 23-54, MR 2001d:20035, Zbl 0952.20032.
    • (1999) Group Theory Down Under , pp. 23-54
    • Cossey, J.1    Miller, C.F.2    Neumann, W.D.3    Shapiro, M.4
  • 6
    • 0035993966 scopus 로고    scopus 로고
    • Splittings of finitely generated groups over two-ended subgroups
    • Bo4, CMP 1 867 372
    • [Bo4] _, Splittings of finitely generated groups over two-ended subgroups, Trans. Amer. Math. Soc., 354 (2002), 1049-1078, CMP 1 867 372.
    • (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 1049-1078
  • 7
  • 8
    • 34249770134 scopus 로고
    • Convergence groups and Seifert fibered 3-manifolds
    • CJ, MR 96f:57011, Zbl 0840.57005
    • [CJ] A. Casson and D. Jungreis, Convergence groups and Seifert fibered 3-manifolds, Invent. Math., 118 (1994), 441-456, MR 96f:57011, Zbl 0840.57005.
    • (1994) Invent. Math. , vol.118 , pp. 441-456
    • Casson, A.1    Jungreis, D.2
  • 9
    • 0003245595 scopus 로고
    • Groups acting on graphs
    • DiD, Cambridge University Press, MR 91b:20001, Zbl 0665.20001
    • [DiD] W. Dicks and M.J. Dunwoody, Groups Acting on Graphs, Cambridge Studies in Advanced Mathematics, 17, Cambridge University Press, 1989, MR 91b:20001, Zbl 0665.20001.
    • (1989) Cambridge Studies in Advanced Mathematics , vol.17
    • Dicks, W.1    Dunwoody, M.J.2
  • 10
    • 51249185679 scopus 로고
    • Cutting up graphs
    • Du1, MR 84k:05050, Zbl 0504.05035
    • [Du1] M.J. Dunwoody, Cutting up graphs, Combinatorica, 2 (1982), 15-23, MR 84k:05050, Zbl 0504.05035.
    • (1982) Combinatorica , vol.2 , pp. 15-23
    • Dunwoody, M.J.1
  • 11
    • 0001288484 scopus 로고
    • The accessibility of finitely presented groups
    • Du2, MR 87d:20037, Zbl 0572.20025
    • [Du2] _, The accessibility of finitely presented groups, Invent. Math., 81 (1985), 449-457, MR 87d:20037, Zbl 0572.20025.
    • (1985) Invent. Math. , vol.81 , pp. 449-457
  • 12
    • 0002100037 scopus 로고
    • An inaccessible group
    • Du3, 'Geometric Group Theory,' Vol. 1, Cambridge University Press, MR 94i:20067, Zbl 0833.20035
    • [Du3] _, An inaccessible group, in 'Geometric Group Theory,' Vol. 1 (ed. G.A. Niblo and M.A. Roller), London Math. Soc. Lecture Notes Series, 181, Cambridge University Press, 1993, 75-78, MR 94i:20067, Zbl 0833.20035.
    • (1993) London Math. Soc. Lecture Notes Series , vol.181 , pp. 75-78
    • Niblo, G.A.1    Roller, M.A.2
  • 13
    • 0001481292 scopus 로고    scopus 로고
    • Groups acting on protrees
    • Du4, MR 98f:20008, Zbl 0918.20011
    • [Du4] _, Groups acting on protrees, J. London Math. Soc., 56 (1997), 125-136, MR 98f:20008, Zbl 0918.20011.
    • (1997) J. London Math. Soc. , vol.56 , pp. 125-136
  • 14
    • 0034349071 scopus 로고    scopus 로고
    • The algebraic torus theorem
    • DuS, MR 2001d:20039
    • [DuS] M.J. Dunwoody and E.L. Swenson, The algebraic torus theorem, Invent. Math., 140 (2000), 605-637, MR 2001d:20039.
    • (2000) Invent. Math. , vol.140 , pp. 605-637
    • Dunwoody, M.J.1    Swenson, E.L.2
  • 15
    • 0000069023 scopus 로고
    • Negatively curved groups have the convergence property
    • F, MR 96g:20054, Zbl 0847.20031
    • [F] E.M. Freden, Negatively curved groups have the convergence property, Ann. Acad. Sci. Fenn. Ser. A Math., 20 (1995), 333-348, MR 96g:20054, Zbl 0847.20031.
    • (1995) Ann. Acad. Sci. Fenn. Ser. A Math. , vol.20 , pp. 333-348
    • Freden, E.M.1
  • 16
    • 0001072597 scopus 로고
    • Convergence groups are fuchsian groups
    • Ga, MR 93m:20065, Zbl 0785.57004
    • [Ga] D. Gabai, Convergence groups are fuchsian groups, Ann. of Math., 136 (1992), 447-510, MR 93m:20065, Zbl 0785.57004.
    • (1992) Ann. of Math. , vol.136 , pp. 447-510
    • Gabai, D.1
  • 17
    • 0000507836 scopus 로고
    • Discrete quasiconformal groups I
    • GehM, MR 88m:30057, Zbl 0628.30027
    • [GehM] F.W. Gehring and G.J. Martin, Discrete quasiconformal groups I, Proc. London Math. Soc., 55 (1987), 331-358, MR 88m:30057, Zbl 0628.30027.
    • (1987) Proc. London Math. Soc. , vol.55 , pp. 331-358
    • Gehring, F.W.1    Martin, G.J.2
  • 18
    • 84883699822 scopus 로고    scopus 로고
    • Ger, (Russian), Belo Horizonte
    • [Ger] V. Gerasimov, Manuscript (Russian), Belo Horizonte.
    • Manuscript
    • Gerasimov, V.1
  • 19
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Gr, 'Essays in Group Theory' (ed. S.M. Gersten), Springer-Verlag, MR 89e:20070, Zbl 0634.20015
    • [Gr] M. Gromov, Hyperbolic groups, in 'Essays in Group Theory' (ed. S.M. Gersten), M.S.R.I. Publications, 8, Springer-Verlag, 1987, 75-263, MR 89e:20070, Zbl 0634.20015.
    • (1987) M.S.R.I. Publications , vol.8 , pp. 75-263
    • Gromov, M.1
  • 20
    • 0012342334 scopus 로고    scopus 로고
    • The singularity obstruction for group splittings
    • N, CMP 1 881 707
    • [N] G.A. Niblo, The singularity obstruction for group splittings, Topology Appl., 119(1) (2002), 17-31, CMP 1 881 707.
    • (2002) Topology Appl. , vol.119 , Issue.1 , pp. 17-31
    • Niblo, G.A.1
  • 22
    • 84968483087 scopus 로고
    • Applications of the theory of Boolean rings to general topology
    • St, CMP 1 501 905, Zbl 0017.13502
    • [St] M.H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 375-481, CMP 1 501 905, Zbl 0017.13502.
    • (1937) Trans. Amer. Math. Soc. , vol.41 , pp. 375-481
    • Stone, M.H.1
  • 23
    • 23844531006 scopus 로고
    • Homeomorphic conjugates of fuchsian groups
    • T1, MR 89m:30047, Zbl 0644.30027
    • [T1] P. Tukia, Homeomorphic conjugates of fuchsian groups, J. Reine Angew. Math., 391 (1988), 1-54, MR 89m:30047, Zbl 0644.30027.
    • (1988) J. Reine Angew. Math. , vol.391 , pp. 1-54
    • Tukia, P.1
  • 24
    • 0000405796 scopus 로고
    • Convergence groups and Gromov's metric hyperbolic spaces
    • [T2], MR 96c:30042, Zbl 0855.30036
    • [T2] _, Convergence groups and Gromov's metric hyperbolic spaces, New Zealand J. Math., 23 (1994), 157-187, MR 96c:30042, Zbl 0855.30036.
    • (1994) New Zealand J. Math. , vol.23 , pp. 157-187
  • 25
    • 0003376803 scopus 로고    scopus 로고
    • Conical limit points and uniform convergence groups
    • [T3], MR 2000b:30067, Zbl 0909.30034
    • [T3] _, Conical limit points and uniform convergence groups, J. Reine. Angew. Math., 501 (1998), 71-98, MR 2000b:30067, Zbl 0909.30034.
    • (1998) J. Reine. Angew. Math. , vol.501 , pp. 71-98


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.