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A note on Beauville p-groups

Fairbairn, Ben and Barker, N. and Boston, N. (2012) A note on Beauville p-groups. Experimental Mathematics 21 (3), pp. 298-306. ISSN 1058-6458.

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Official URL: http://dx.doi.org/10.1080/10586458.2012.669267

Abstract

We examine which p-groups of order ≤ p6 are Beauville. We completely classify them for groups of order ≤ p^4. We also show that the proportion of 2-generated groups of order p^5 that are Beauville tends to 1 as p tends to infinity; this is not true, however, for groups of order p^6. For each prime p we determine the smallest nonabelian Beauville p-group.

Item Type: Article
Keyword(s) / Subject(s): Beauville structure, Beauville group, p-groups, Beauville surface
School or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
Depositing User: Dr Ben Fairbairn
Date Deposited: 30 Nov 2012 10:17
Last Modified: 17 Apr 2013 12:33
URI: http://eprints.bbk.ac.uk/id/eprint/5419

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