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arXiv · 2109.04725

Ramification structures for quotients of multi-EGS groups

Elena Di Domenico·Şükran Gül·Anitha Thillaisundaram
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Abstract

Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. G\"{u}l and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki groups, GGS-groups for short, admit ramification structures. We extend their result by showing that quotients of generalisations of the GGS-groups, namely multi-EGS groups, also admit ramification structures.

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Elena Di Domenico, Şükran Gül, Anitha Thillaisundaram. 2021-09-10. Ramification structures for quotients of multi-EGS groups. https://arxiv.org/abs/2109.04725

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