Ramification structures for quotients of the Grigorchuk groups
Group Theory
2021-10-26 v1
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. In this paper, we prove that infinitely many quotients of the Grigorchuk groups admit ramification structures. This gives the first explicit infinite family of 3-generated finite 2-groups with ramification structures.
Cite
@article{arxiv.2110.12376,
title = {Ramification structures for quotients of the Grigorchuk groups},
author = {Marialaura Noce and Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:2110.12376},
year = {2021}
}
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12 pages