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Euler characteristics for orbifold generalized triangle groups

WILLIAMS, ALUNGT (2002) 'Euler characteristics for orbifold generalized triangle groups.' Mathematical Proceedings of the Cambridge Philosophical Society, 132 (3). 435 - 438. ISSN 0305-0041

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Abstract

<jats:p>A generalized triangle group is a group with a presentation</jats:p><jats:p><jats:italic>GT</jats:italic>(<jats:italic>l</jats:italic>, <jats:italic>m</jats:italic>, <jats:italic>n</jats:italic>; <jats:italic>w</jats:italic>) = 〈<jats:italic>a</jats:italic>, <jats:italic>b</jats:italic> | <jats:italic>a</jats:italic><jats:sup><jats:italic>l</jats:italic></jats:sup> = <jats:italic>b</jats:italic><jats:sup><jats:italic>m</jats:italic></jats:sup> = <jats:italic>w</jats:italic><jats:sup><jats:italic>n</jats:italic></jats:sup> = 1〉;</jats:p><jats:p>where <jats:italic>l</jats:italic>, <jats:italic>m</jats:italic>, <jats:italic>n</jats:italic> [ges ] 2, and <jats:italic>w</jats:italic> is a cyclically reduced word in the free product on {<jats:italic>a</jats:italic>, <jats:italic>b</jats:italic>}. In the setting of one-relator products of cyclic groups, Fine <jats:italic>et al.</jats:italic> [<jats:bold>3</jats:bold>] calculated their Euler characteristics for <jats:italic>n</jats:italic> [ges ] 3 under certain conditions on the defining word <jats:italic>w</jats:italic>.</jats:p>

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Gerald Williams
Date Deposited: 10 May 2012 13:55
Last Modified: 15 Apr 2019 11:15
URI: http://repository.essex.ac.uk/id/eprint/2408

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