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arXiv · 2301.02920

Beauville structures for quotients of generalised GGS-groups

Elena Di Domenico·Şükran Gül·Anitha Thillaisundaram
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Abstract

A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. G\"{u}l and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki (GGS-)groups that act on the $p$-adic tree, for $p$ an odd prime, admit Beauville structures. We extend their result by showing that quotients of infinite periodic GGS-groups acting on $p^n$-adic trees, for $p$ any prime and $n\ge 2$, also admit Beauville structures.

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Elena Di Domenico, Şükran Gül, Anitha Thillaisundaram. 2023-01-07. Beauville structures for quotients of generalised GGS-groups. https://arxiv.org/abs/2301.02920

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