0 KB230 KB58 KB200820252008Ipolyiová, MáriaMačaj, MartinŠiran, Jozefletnik:1številka:2str. 223-241COBISSID:15153241ISSN:1855-3966URN:URN:NBN:SI:doc-15SE441LenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneamatematikateorije grafovInjectivity radius of representations of triangle groups and planar width of regular hypermaps|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 upper 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 widthTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije