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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
Externí odkaz:
http://arxiv.org/abs/2110.08371
Autor:
Pirillo, Colin, Sabar, Seth
Publikováno v:
PUMP Journal of Undergraduate Research, Vol. 5 (2022), 52-64
We provide a variety of cases in which two factorizations have Hurwitz orbits of the same size. We begin with prototypical results about factorizations of length two, and show that cycling elements or flipping and inverting elements in any factorizat
Externí odkaz:
http://arxiv.org/abs/2102.01145