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Pinnacles for Complex Reflection Groups

Published in ArXiv.org • Oct 4, 2025
NobleIDNI1P14W17R19S82
Authors:
Aaron Burnham-Schmidt
,
Nicolle González

Abstract

We study, characterize, and enumerate the admissible pinnacle sets of nonexceptional complex reflection groups $G(m,p,n)$, which include all generalized symmetric groups $\mathbb{Z}_m \wr S_n$ as special cases. This generalizes the work of Davis--Nelson--Petersen--Tenner for symmetric groups $S_n$ a...

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