Beauville structures for quotients of generalised GGS-groups

2023/01/07 by Di Domenico, Elena, Gül, Şükran, Thillaisundaram, Anitha
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2301.02920

Abstract

A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. Gül 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 pⁿ-adic trees, for p any prime and n≥ 2, also admit Beauville structures.

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