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COMPLEX OF RELATIVELY HYPERBOLIC GROUPS

Part of: Special aspects of infinite or finite groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 October 2018

ABHIJIT PAL  and
SUMAN PAUL
ABHIJIT PAL*
Affiliation:
Department of Mathematics and Statistics, India Institute of Technology Kanpur, Kanpur-208016, India e-mail: abhipal@iitk.ac.in, sumanpl@iitk.ac.in
SUMAN PAUL*
Affiliation:
Department of Mathematics and Statistics, India Institute of Technology Kanpur, Kanpur-208016, India e-mail: abhipal@iitk.ac.in, sumanpl@iitk.ac.in
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Abstract

In this paper, we prove a combination theorem for a complex of relatively hyperbolic groups. It is a generalization of Martin’s (Geom. Topology18 (2014), 31–102) work for combination of hyperbolic groups over a finite MK-simplicial complex, where k ≤ 0.

MSC classification

Primary: 20F65: Geometric group theory
Secondary: 20F67: Hyperbolic groups and nonpositively curved groups 20E08: Groups acting on trees
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 3 , September 2019 , pp. 657 - 672
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

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