0 KB291 KB32 KB200820252013Jones, Gareth A.Mačaj, MartinŠiran, Jozefštevilka:1letnik:6str. 25-35COBISSID:16467801ISSN:1855-3966URN:URN:NBN:SI:doc-33RUETAJenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporanealinear fractional group.regular mapNonorientable regular maps over linear fractional groups|It is well known that for any given hyperbolic pair ?$(k, m)$? there exist infinitely many regular maps of valence ?$k$? and face length ?$m$? on an orientable surface, with automorphism group isomorphic to a linear fractional group. A nonorientable analogue of this result was known to be true for all pairs ?$(k, m)$? as above with at least one even entry. In this paper we establish the existence of such regular maps on nonorientable surfaces for all hyperbolic pairsTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije