Hurwitz equivalence of reflection factorizations in $G_7$
Combinatorics
2021-10-19 v1 Group Theory
Abstract
We prove that two reflection factorizations of a given element in an exceptional rank-2 complex reflection group of tetrahedral type are Hurwitz-equivalent if and only if they generate the same subgroup and have the same multiset of conjugacy classes.
Keywords
Cite
@article{arxiv.2110.08371,
title = {Hurwitz equivalence of reflection factorizations in $G_7$},
author = {Tyler Minnick and Colin Pirillo and Sarah Racile and Yueqi Wang},
journal= {arXiv preprint arXiv:2110.08371},
year = {2021}
}
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18 pages