메뉴 건너뛰기




Volumn 222, Issue 5, 2009, Pages 1574-1588

Group actions and Helly's theorem

Author keywords

CAT (0); Helly's theorem; SLn

Indexed keywords


EID: 69849088725     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2009.06.004     Document Type: Article
Times cited : (32)

References (25)
  • 1
    • 4243072374 scopus 로고
    • Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups
    • Springer-Verlag
    • Abels H. Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups. Lecture Notes in Math. vol. 1261 (1987), Springer-Verlag
    • (1987) Lecture Notes in Math. , vol.1261
    • Abels, H.1
  • 2
    • 0012283303 scopus 로고
    • Locally compact groups acting on trees and property T
    • Alperin R. Locally compact groups acting on trees and property T. Monatsh. Math. 93 4 (1982) 261-265
    • (1982) Monatsh. Math. , vol.93 , Issue.4 , pp. 261-265
    • Alperin, R.1
  • 3
    • 0002273445 scopus 로고
    • Groups of integral representation type
    • Bass H. Groups of integral representation type. Pacific J. Math. 86 1 (1980) 15-51
    • (1980) Pacific J. Math. , vol.86 , Issue.1 , pp. 15-51
    • Bass, H.1
  • 4
    • 69849090838 scopus 로고    scopus 로고
    • n conjecture for Coxeter groups
    • n conjecture for Coxeter groups. Algebr. Geom. Topol. 6 (2006) 2117-2150
    • (2006) Algebr. Geom. Topol. , vol.6 , pp. 2117-2150
    • Barnhill, A.1
  • 5
    • 0030545477 scopus 로고    scopus 로고
    • CAT (- 1)-spaces, divergence groups and their commensurators
    • Burger M., and Mozes S. CAT (- 1)-spaces, divergence groups and their commensurators. J. Amer. Math. Soc. 9 (1996) 57-93
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 57-93
    • Burger, M.1    Mozes, S.2
  • 6
    • 0003340443 scopus 로고
    • Cohomology of Groups
    • Springer-Verlag
    • Brown K. Cohomology of Groups. Grad. Texts in Math. vol. 87 (1982), Springer-Verlag
    • (1982) Grad. Texts in Math. , vol.87
    • Brown, K.1
  • 7
    • 0003252588 scopus 로고    scopus 로고
    • Metric Spaces of Nonpositive Curvature
    • Springer-Verlag
    • Bridson M., and Haefliger A. Metric Spaces of Nonpositive Curvature. Grundlehren Math. Wiss. vol. 139 (1999), Springer-Verlag
    • (1999) Grundlehren Math. Wiss. , vol.139
    • Bridson, M.1    Haefliger, A.2
  • 8
    • 0039324531 scopus 로고
    • Helly type theorems derived from basic singular homology
    • Debrunner H. Helly type theorems derived from basic singular homology. Amer. Math. Monthly 77 4 (1970) 375-380
    • (1970) Amer. Math. Monthly , vol.77 , Issue.4 , pp. 375-380
    • Debrunner, H.1
  • 9
    • 69849097041 scopus 로고
    • Fixed points of elementary subgroups of Chevalley groups acting on trees
    • Fukunaga M. Fixed points of elementary subgroups of Chevalley groups acting on trees. Tsukuba J. Math. 3 2 (1979) 7-16
    • (1979) Tsukuba J. Math. , vol.3 , Issue.2 , pp. 7-16
    • Fukunaga, M.1
  • 10
    • 21944439776 scopus 로고    scopus 로고
    • Superrigidity for homomorphisms into isometry groups of CAT (- 1) spaces
    • Gao Y. Superrigidity for homomorphisms into isometry groups of CAT (- 1) spaces. Transform. Groups 2 3 (1997) 289-323
    • (1997) Transform. Groups , vol.2 , Issue.3 , pp. 289-323
    • Gao, Y.1
  • 11
    • 51249165236 scopus 로고
    • Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one
    • Gromov M., and Schoen R. Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one. Publ. Math. Inst. Hautes Études Sci. 76 (1992) 165-246
    • (1992) Publ. Math. Inst. Hautes Études Sci. , vol.76 , pp. 165-246
    • Gromov, M.1    Schoen, R.2
  • 12
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation Theory
    • Springer-Verlag
    • Humphreys J. Introduction to Lie Algebras and Representation Theory. Grad. Texts in Math. vol. 9 (1972), Springer-Verlag
    • (1972) Grad. Texts in Math. , vol.9
    • Humphreys, J.1
  • 13
    • 0003334674 scopus 로고
    • Linear Algebraic Groups
    • Springer-Verlag
    • Humphreys J. Linear Algebraic Groups. Grad. Texts in Math. vol. 21 (1975), Springer-Verlag
    • (1975) Grad. Texts in Math. , vol.21
    • Humphreys, J.1
  • 14
    • 69849089643 scopus 로고
    • Normality in elementary subgroups of Chevalley groups over rings
    • Hurley J. Normality in elementary subgroups of Chevalley groups over rings. Canad. J. Math. XXVIII 2 (1976) 420-428
    • (1976) Canad. J. Math. , vol.XXVIII , Issue.2 , pp. 420-428
    • Hurley, J.1
  • 15
    • 0037398185 scopus 로고    scopus 로고
    • 1 of Chevalley groups are nilpotent
    • 20G15
    • 1 of Chevalley groups are nilpotent. J. Pure Appl. Algebra 179 1-2 (2003) 99-116 20G15
    • (2003) J. Pure Appl. Algebra , vol.179 , Issue.1-2 , pp. 99-116
    • Hazrat, R.1    Vavilov, N.2
  • 16
    • 0002377482 scopus 로고
    • On the decomposition of discrete subgroups into amalgams
    • Margulis G.A. On the decomposition of discrete subgroups into amalgams. Selecta Math. Sov. 1 (1981) 197-213
    • (1981) Selecta Math. Sov. , vol.1 , pp. 197-213
    • Margulis, G.A.1
  • 17
    • 0003268398 scopus 로고
    • Discrete Subgroups of Semisimple Lie Groups
    • Springer-Verlag
    • Margulis G.A. Discrete Subgroups of Semisimple Lie Groups. Ergeb. Math. Grenzgeb. (3) vol. 17 (1991), Springer-Verlag
    • (1991) Ergeb. Math. Grenzgeb. (3) , vol.17
    • Margulis, G.A.1
  • 18
    • 27844542824 scopus 로고    scopus 로고
    • Sous-groupes elliptiques de groupes linéaires sur un corps valué
    • Parreau A. Sous-groupes elliptiques de groupes linéaires sur un corps valué. J. Lie Theory 13 (2003) 271-278
    • (2003) J. Lie Theory , vol.13 , pp. 271-278
    • Parreau, A.1
  • 19
    • 84972567718 scopus 로고
    • A note on generators for arithmetic subgroups of algebraic groups
    • Raghunathan M.S. A note on generators for arithmetic subgroups of algebraic groups. Pacific J. Math. 152 2 (1992) 365-373
    • (1992) Pacific J. Math. , vol.152 , Issue.2 , pp. 365-373
    • Raghunathan, M.S.1
  • 21
    • 0004211763 scopus 로고
    • translated from the French by J. Stillwell, Springer-Verlag
    • Serre J.P. Trees. translated from the French by J. Stillwell (1980), Springer-Verlag
    • (1980) Trees
    • Serre, J.P.1
  • 22
    • 0000740322 scopus 로고
    • Chevalley groups over polynomial rings
    • Homological Group Theory, Proc. Sympos. Durham, 1977
    • Soulé C. Chevalley groups over polynomial rings. Homological Group Theory, Proc. Sympos. Durham, 1977. London Math. Soc. Lecture Note Ser. vol. 36 (1977) 359-367
    • (1977) London Math. Soc. Lecture Note Ser. , vol.36 , pp. 359-367
    • Soulé, C.1
  • 23
    • 0001055002 scopus 로고
    • Generators, relations and coverings of Chevalley groups over commutative rings
    • Stein M. Generators, relations and coverings of Chevalley groups over commutative rings. Amer. J. Math. 93 (1971) 965-1004
    • (1971) Amer. J. Math. , vol.93 , pp. 965-1004
    • Stein, M.1
  • 25
    • 0000837657 scopus 로고
    • Discrete groups generated by reflections in Lobachevsky spaces
    • Vinberg E.B. Discrete groups generated by reflections in Lobachevsky spaces. Math. USSR Sb. 1 (1967) 429-444
    • (1967) Math. USSR Sb. , vol.1 , pp. 429-444
    • Vinberg, E.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.