The tits alternative for groups defined by periodic paired relations

Williams, Gerald (2006) The tits alternative for groups defined by periodic paired relations. Communications in Algebra, 34 (1). pp. 251-258. ISSN 0092-7872. (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1080/00927870500346248

Abstract

The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the generalized triangle groups, the generalized tetrahedron groups, and the generalized Coxeter groups. We observe that any group defined by periodic paired relations Gamma can be realized as a so-called '' Pride group ''. Using results of Howie and Kopteva we give necessary and sufficient conditions for this Pride group to be non-spherical. Under such conditions, we show that Gamma satisfies the Tits alternative.

Item Type: Article
Uncontrolled keywords: generalized Coxeter group; generalized tetrahedron group; generalized triangle group; group defined by periodic paired relations; pride group; tits alternative RELATOR; SUBGROUPS
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Judith Broom
Date Deposited: 12 Sep 2008 07:08
Last Modified: 25 Jun 2014 13:08
Resource URI: http://kar.kent.ac.uk/id/eprint/10474 (The current URI for this page, for reference purposes)
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