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.

Text (Refereed)
BeauvillepGroups4.pdf - Accepted Version Restricted to Repository staff only Download (321Kb) |

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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