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Nonorientable regular maps over linear fractional groups

Jones, Gareth A.; Macaj, Martin and Siran, Jozef (2013). Nonorientable regular maps over linear fractional groups. Ars Mathematica Contemporanea, 6(1) pp. 25–35.

URL: http://amc-journal.eu/index.php/amc/article/view/2...
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Abstract

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 pairs.

Item Type: Journal Item
Copyright Holders: 2013 DMFA Slovenije
ISSN: 1855-3974
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetAPVV Research Grants
Not SetNot SetVEGA Research Grants
Keywords: regular map; linear fractional group
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 36265
Depositing User: Jozef Širáň
Date Deposited: 23 Jan 2013 15:09
Last Modified: 07 Dec 2018 10:12
URI: http://oro.open.ac.uk/id/eprint/36265
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