Mačaj, Martin; Širáň, Jozef and Ipolyiová, Mária
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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|
|Keywords:||triangle group; epimorphism; injectivity radius; regular hypermap; planar width|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Jozef Širáň|
|Date Deposited:||03 Feb 2011 09:53|
|Last Modified:||09 Aug 2016 10:31|
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