Hurwitz equivalence of reflection factorizations in $G_7$

Autor:	Minnick, Tyler, Pirillo, Colin, Racile, Sarah, Wang, Yueqi
Rok vydání:	2021
Předmět:	Mathematics - Combinatorics Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.08371 Zobrazit plný text záznamu View this record from Arxiv