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Non-orientable regular maps of a given type over linear fractional groups

Širáň, Jozef (2010). Non-orientable regular maps of a given type over linear fractional groups. Graphs and Combinatorics, 26(4) pp. 597–602.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1007/s00373-010-0935-8
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Abstract

It is known that for any given k and m such that 1/k + 1/m < 1/2 there exist infinitely many regular maps M of valence k and face length m on orientable surfaces such that the automorphism group of M is isomorphic to a linear fractional group over a finite field. We examine the pairs (k, m) for which this result can be extended to regular maps on non-orientable surfaces.

Item Type: Journal Article
Copyright Holders: 2010 Springer
ISSN: 1435-5914
Keywords: regular map; non-orientable surface; linear fractional group
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 23258
Depositing User: Jozef Širáň
Date Deposited: 24 Sep 2010 14:32
Last Modified: 30 Nov 2012 10:40
URI: http://oro.open.ac.uk/id/eprint/23258
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