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arXiv · 1604.06031

Beauville structures in $p$-central quotients

Şükran Gül
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Abstract

We prove a conjecture of Boston that if $p\geq 5$, all $p$-central quotients of the free group on two generators and of the free product of two cyclic groups of order $p$ are Beauville groups. In the case of the free product, we also determine Beauville structures in $p$-central quotients when $p=3$. As a consequence, we give an explicit infinite family of Beauville $3$-groups, which is different from the only one that was known up to date.

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Şükran Gül. 2016-04-20. Beauville structures in $p$-central quotients. https://arxiv.org/abs/1604.06031

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