메뉴 건너뛰기




Volumn 110, Issue 1, 2001, Pages 29-38

On boundaries of hyperbolic Coxeter groups

Author keywords

Coxeter group; Hyperbolic group; Sphere at infinity

Indexed keywords


EID: 0038612583     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00172-8     Document Type: Article
Times cited : (9)

References (16)
  • 3
    • 84879168733 scopus 로고
    • A proof of the generalized Schoenflies theorem
    • M. Brown, A proof of the generalized Schoenflies theorem, Bull. Amer. Math. Soc. 66 (1960) 74-76.
    • (1960) Bull. Amer. Math. Soc. , vol.66 , pp. 74-76
    • Brown, M.1
  • 4
    • 84968466639 scopus 로고
    • Some applications of an approximation theorem for inverse limits
    • M. Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11 (1960) 478-481.
    • (1960) Proc. Amer. Math. Soc. , vol.11 , pp. 478-481
    • Brown, M.1
  • 5
    • 0009166191 scopus 로고
    • Nonpositive curvature and reflection groups
    • Brigham Young University, Provo, UT
    • M. Davis, Nonpositive curvature and reflection groups, in: Proc. 11th Annual Workshop in Geometric Topology, Brigham Young University, Provo, UT, 1994.
    • (1994) Proc. 11th Annual Workshop in Geometric Topology
    • Davis, M.1
  • 6
    • 0001438960 scopus 로고
    • Groups generated by reflections and aspherical manifolds not covered by Euclidean space
    • M. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983) 293-325.
    • (1983) Ann. of Math. (2) , vol.117 , pp. 293-325
    • Davis, M.1
  • 7
    • 0000056539 scopus 로고    scopus 로고
    • The cohomology of a Coxeter group with group ring coefficients
    • M. Davis, The cohomology of a Coxeter group with group ring coefficients, Duke Math. J. 91 (2) (1998) 297-314.
    • (1998) Duke Math. J. , vol.91 , Issue.2 , pp. 297-314
    • Davis, M.1
  • 9
    • 21744461558 scopus 로고    scopus 로고
    • On the virtual cohomological dimensions of Coxeter groups
    • A.N. Dranishnikov, On the virtual cohomological dimensions of Coxeter groups, Proc. Amer. Math. Soc. 125 (7) (1997) 1885-1891.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , Issue.7 , pp. 1885-1891
    • Dranishnikov, A.N.1
  • 11
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • S.M. Gersten (Ed.), Essays in Group Theory, Springer, New York
    • M. Gromov, Hyperbolic groups, in: S.M. Gersten (Ed.), Essays in Group Theory, MSRI Ser., Vol. 8, Springer, New York, 1987, pp. 75-264.
    • (1987) MSRI Ser. , vol.8 , pp. 75-264
    • Gromov, M.1
  • 12
    • 84966208223 scopus 로고
    • Cell-like mappings and their generalizations
    • R.C. Lacher, Cell-like mappings and their generalizations, Bull. Amer. Math. Soc. 83 (1977) 495-552.
    • (1977) Bull. Amer. Math. Soc. , vol.83 , pp. 495-552
    • Lacher, R.C.1
  • 13
    • 0004206074 scopus 로고
    • Ph.D. Thesis, The Ohio State University, Columbus, OH
    • G. Moussong, Hyperbolic Coxeter groups, Ph.D. Thesis, The Ohio State University, Columbus, OH, 1988.
    • (1988) Hyperbolic Coxeter Groups
    • Moussong, G.1
  • 14
    • 0007378907 scopus 로고
    • Hyperbolic metric spaces and the exotic cohomology Novikov conjecture
    • J. Roe, Hyperbolic metric spaces and the exotic cohomology Novikov conjecture, K-theory 4 (1991) 501-512.
    • (1991) K-theory , vol.4 , pp. 501-512
    • Roe, J.1
  • 15
    • 0000597814 scopus 로고
    • On discontinuous groups in higher dimensional symmetric spaces
    • Tata Inst., Bombay
    • A. Selberg, On discontinuous groups in higher dimensional symmetric spaces, in: Proc. Internat. Coll. on Function Theory, Tata Inst., Bombay, 1960.
    • (1960) Proc. Internat. Coll. on Function Theory
    • Selberg, A.1
  • 16
    • 0009236124 scopus 로고
    • Absence of crystallographic reflection groups in Lobachevsky spaces of large dimension
    • E.B. Vinberg, Absence of crystallographic reflection groups in Lobachevsky spaces of large dimension, Funk. Anal. i Prilozhen. 15 (1981) 67-68.
    • (1981) Funk. Anal. i Prilozhen. , vol.15 , pp. 67-68
    • Vinberg, E.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.