A note on strongly real Beauville $p$-groups

Abstract

We give an infinite family of non-abelian strongly real Beauville $p$-groups for any odd prime $p$ by considering the lower central quotients of the free product of two cyclic groups of order $p$. This is the first known infinite family of non-abelian strongly real Beauville $p$-groups.

We have changed the comment after Definition 1.2

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• An infinite family of strongly real Beauville $p$-groups