Combination of quasiconvex subgroups of relatively hyperbolic groups

Details Combination of quasiconvex subgroups of relatively hyperbolic groups Combination of quasiconvex subgroups of relatively hyperbolic groups

2007-09-13

arxiv.org/abs/0709.2113v2

Mathematics

Group Theory

25 pages, 12 figures. v2: Improved the exposition. Rewriting of parts due to referee's comments. Version to appear in "Groups,

Scientific paper

For relatively hyperbolic groups, we investigate conditions guaranteeing that
the subgroup generated by two quasiconvex subgroups $Q$ and $R$ is quasiconvex
and isomorphic to $Q \ast_{Q\cap R} R$. Our results generalized known
combination theorems for quasiconvex subgroups of word-hyperbolic groups. Some
applications are presented.

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