Pinnacles for complex reflection groups

Discrete Mathematics 2026 Open access

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Authors: Aaron Burnham-Schmidt, Nicolle González
DOI: 10.1016/j.disc.2026.115222
Cited by: 0

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 $S_n$ and González--Harris--Rojas Kirby--Smit Vega Garcia--Tenner for signed symmetric groups $\mathbb{Z}_2 \wr S_n$. As a consequence, we prove a conjecture of González--Harris--Rojas Kirby--Smit Vega Garcia--Tenner for pinnacles of signed permutations.

Fields of Study & Subjects

Structural Analysis and Optimization

Publication details

Journal / source
Discrete Mathematics
Volume
349
Issue
10
Pages
115222–115222
Publication date
18 May 2026
Language
EN