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The Tits alternative for non-spherical Pride groups

Kopteva, Natalia, 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. (doi:10.1112/blms/bdm092) (KAR id:14707)

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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
DOI/Identification number: 10.1112/blms/bdm092
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Louise Dorman
Date Deposited: 18 Apr 2009 10:37 UTC
Last Modified: 28 May 2019 13:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/14707 (The current URI for this page, for reference purposes)
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