论文信息 - Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups

Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups

Abstract Analogues of a theorem of Greenberg about finitely generated subgroups of free groups are proved for quasiconvex subgroups of word hyperbolic groups. It is shown that a quasiconvex subgroup of a word hyperbolic group is a finite index subgroup of only finitely many other subgroups.

H. Short | Ilya Kapovich

[1] Rita Gitik,et al. WIDTHS OF SUBGROUPS , 1998 .

[2] Michael L. Mihalik,et al. Quasiconvex subgroups of negatively curved groups , 1994 .

[3] Unsolvable Problems About Small Cancellation and Word Hyperbolic Groups , 1994 .

[4] H. Bass. Covering theory for graphs of groups , 1993 .

[5] G. Swarup. Geometric finiteness and rationality , 1993 .

[6] The fixed group of an automorphism of a word hyperbolic group is rational , 1992 .

[7] David B. A. Epstein,et al. Word processing in groups , 1992 .

[8] Vincent Ferlini,et al. Group Theory from a Geometric Viewpoint , 1991 .

[9] Stephen J. Pride,et al. Subgroups of small cancellation groups. , 1984 .

[10] J. Morgan,et al. On Thurston''s uniformization theorem for three-dimensional manifolds , 1984 .

[11] John R. Stallings,et al. Topology of finite graphs , 1983 .

[12] W. Floyd. Group completions and limit sets of Kleinian groups , 1980 .

[13] Leon Greenberg,et al. Discrete Groups of Motions , 1960, Canadian Journal of Mathematics.