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arXiv:1205.2994 [math.GR]AbstractReferencesReviewsResources

Combination of fully quasiconvex subgroups and its applications

Wenyuan Yang

Published 2012-05-14, updated 2012-12-28Version 3

In this paper, we state two combination theorems for relatively quasiconvex subgroups in a relatively hyperbolic group. Applications are given to the separability of double cosets of certain relatively quasiconvex subgroups and the existence of closed surface subgroups in relatively hyperbolic groups.

Comments: 25 pages, 3 figures. New added Cor. 1.5 about the existence of closed surface groups in relatively hyperbolic groups
Categories: math.GR, math.GT
Subjects: 20F65, 20F67
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