Ramification structures for quotients of multi-EGS groups
Group Theory
2022-07-15 v2
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.
Cite
@article{arxiv.2109.04725,
title = {Ramification structures for quotients of multi-EGS groups},
author = {Elena Di Domenico and Şükran Gül and Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:2109.04725},
year = {2022}
}
Comments
14 pages