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Regular hypermaps over projective linear groups

Conder, Marston; Potočnik, Primož and Širáň, Jozef (2008). Regular hypermaps over projective linear groups. Journal of the Australian Mathematical Society, 85(2) pp. 155–175.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1017/S1446788708000827
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Abstract

An enumeration result for orientably regular hypermaps of a given type with automorphism groups isomorphic to PSL(2,q) or PGL(2,q) can be extracted from a 1969 paper by Sah. We extend the investigation to orientable reflexible hypermaps and to nonorientable regular hypermaps, providing many more details about the associated computations and explicit generating sets for the associated groups.

Item Type: Journal Article
Copyright Holders: 2008 Cambridge University Press
ISSN: 1446-7887
Keywords: hypermap; regular hypermap; triangle group; projective linear group
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 23262
Depositing User: Jozef Širáň
Date Deposited: 24 Sep 2010 14:58
Last Modified: 02 Dec 2010 21:05
URI: http://oro.open.ac.uk/id/eprint/23262
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