A homological characterization of hyperbolic groups

Inventiones Mathematicae

Volumn 135, Issue 3, 1999, Pages 723-742

  Allcock, D J ^a   Gersten, S M ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033249575     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050299     Document Type: Article

References (17)

1. J. Alonso: Finiteness conditions on groups and quasi-isometries, Jour. Pure Appl. Alg. 95, 121-129 (1994)
2. J. M. Alonso, W. A. Bogley, R. M. Burton, S. J. Pride, and X. Wang: Second order Dehn functions of groups preprint 1995
3. M. R. Bridson: Geodesics and curvature in metric simplicial complexes Group theory from a geometrical viewpoint (E. Ghys, A. Haefliger, and A. Verjovsky, eds) World Scientific 1990, pp. 373-463
4. D. B. A. Epstein: Word Processing in Groups Jones and Bartlett, Boston 1992
5. J. Fletcher: Ph. D. thesis, Univ. of Utah, 1998
6. S. M. Gersten: A cohomological characterization of hyperbolic groups preprint, Univ. of Utah 1996, available electronically at http://www.math.utah.edu/~gersten
7. S. M. Gersten: Bounded cohomology and combings of groups preprint, Univ. of Utah 1991, available electronically at ftp://ftp.math.utah.edu/u/ma/gersten/bdd.dvi
8. S. M. Gersten: Cohomological lower bounds for isoperimetric functions on groups preprint available at http://www.math.utah.edu/~gersten
9. S. M. Gersten: A note on cohomological vanishing and the linear isoperimetric inequality preprint available at http://www.math.utah.edu/~gersten
10. S. M. Gersten: Subgroups of word hyperbolic groups in dimension 2 Jour. London Math. Soc. 54, 261-283 (1996)
11. E. Ghys and P. de la Harpe: Sur les groupes hyperboliques d'après Mikhael Gromov Progress in Math. vol. 83 Birkhäuser 1990
12. M. Gromov: Hyperbolic groups Essays in group theory (S. M. Gersten, ed.), MSRI series vol. 8 Springer-Verlag 1987
13. M. Gromov: Asymptotic invariants of infinite groups Geometric Group Theory, Volume 2 (G. Niblo and M. Roller, eds.), London Math. Soc. Lecture Notes series vol. 182 Cambridge Univ. Press 1993
14. R. V. Kadison, J. R. Ringrose: Fundamentals of the Theory of Operator Algebras Academic Press 1983
15. R. C. Lyndon, P. E. Schupp: Combinatorial Group Theory Springer-Verlag 1977
16. I. Mineyev: Ph. D. thesis, Univ. of Utah, 1998
17. J. McCool, P. E. Schupp: On one relator groups and HNN extensions, J. Austral. Math. Soc. 16, 249-256 (1973)