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Injectivity radius of representations of triangle groups and planar width of regular hypermaps

Mačaj, Martin; Širáň, Jozef and Ipolyiová, Mária (2008). Injectivity radius of representations of triangle groups and planar width of regular hypermaps. Ars Mathematica Contemporanea, 1(2) pp. 223–241.

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Abstract

We develop a rigorous algebraic background for representations of triangle groups in linear groups over algebras arising from factor rings of multivariate polynomial rings. This is then used to substantially improve the existing bounds on the order of epimorphic images of triangle groups with a given injectivity radius and, analogously, the size of the associated hypermaps of a given type with a given planar width.

Item Type: Journal Article
Copyright Holders: 2008 DMFA - založništvo
ISSN: 1855-3974
Keywords: triangle group; epimorphism; injectivity radius; regular hypermap; planar width
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 27756
Depositing User: Jozef Širáň
Date Deposited: 03 Feb 2011 09:53
Last Modified: 10 Mar 2014 16:50
URI: http://oro.open.ac.uk/id/eprint/27756
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