The Tits alternative for non-spherical Pride groups

Kopteva, Natalia and Williams, Gerald (2008) The Tits alternative for non-spherical Pride groups. Bulletin of the London Mathematical Society , 40 (Part 1). 57 -64 . ISSN 0024-6093. (Full text available)

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http://dx.doi.org/10.1112/blms/bdm092

Abstract

Pride groups, or 'groups given by presentations in which each defining relator involves at most two types of generators', include Coxeter groups, Artin groups, triangles of groups, and Vinberg's groups defined by periodic paired relations. We show that every non-spherical Pride group that is not a triangle of groups satisfies the Tits alternative.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Louise Dorman
Date Deposited: 18 Apr 2009 10:37
Last Modified: 25 Jun 2014 13:07
Resource URI: http://kar.kent.ac.uk/id/eprint/14707 (The current URI for this page, for reference purposes)
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