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

By Martin Mačaj, Jozef Širáň and Mária Ipolyiová

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

Year: 2008
OAI identifier: oai:oro.open.ac.uk:27756
Provided by: Open Research Online

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