Virtual amalgamation of relatively quasiconvex subgroups

Eduardo Martínez-Pedroza, Alessandro Sisto

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q 1 and Q 2 is relatively quasiconvex and isomorphic to Q 1* Q 1∩Q2 Q 2. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces. An application on separability of double cosets of quasiconvex subgroups is included.

Original languageEnglish
Pages (from-to)1993-2002
Number of pages10
JournalAlgebraic and Geometric Topology
Volume12
Issue number4
DOIs
Publication statusPublished - 27 Oct 2012

ASJC Scopus subject areas

  • Geometry and Topology

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