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2012 Virtual amalgamation of relatively quasiconvex subgroups
Eduardo Martínez-Pedroza, Alessandro Sisto
Algebr. Geom. Topol. 12(4): 1993-2002 (2012). DOI: 10.2140/agt.2012.12.1993

Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q1 and Q2 is relatively quasiconvex and isomorphic to Q1Q1Q2Q2. 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.

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Eduardo Martínez-Pedroza. Alessandro Sisto. "Virtual amalgamation of relatively quasiconvex subgroups." Algebr. Geom. Topol. 12 (4) 1993 - 2002, 2012. https://doi.org/10.2140/agt.2012.12.1993

Information

Received: 26 March 2012; Revised: 27 June 2012; Accepted: 29 June 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1258.20035
MathSciNet: MR2994828
Digital Object Identifier: 10.2140/agt.2012.12.1993

Subjects:
Primary: 20F65, 20F67

Rights: Copyright © 2012 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2012
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