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An infinite family of strongly real Beauville p-groups

2016/10/19 by Gül, Şükran
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1610.06080

Abstract

We give an infinite family of non-abelian strongly real Beauville p-groups for every prime p by considering the quotients of triangle groups, and indeed we prove that there are non-abelian strongly real Beauville p-groups of order pn for every n ≥ 3, 5 or 7 according as p ≥ 5 or p =3 or p =2. This shows that there are strongly real Beauville p-groups exactly for the same orders for which there exist Beauville p-groups.

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