Pinnacles for complex reflection groups

Burnham-Schmidt, Aaron

doi:10.1016/j.disc.2026.115222

Pinnacles for complex reflection groups

2026-10-01

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OA

AI

B

Burnham-Schmidt, Aaron

G

Gonzalez, Nicolle *

DOI：10.1016/j.disc.2026.115222

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我们研究、表征和枚举非例外复反射群G(m,p,n)的可允许顶点集，其中包括所有广义对称群Z(m)(sic)S_n作为特例。这推广了Davis-Nelson-Petersen-Tenner关于对称群S_n以及Gonzalez-Harris-Rojas Kirby-Smit Vega Garcia-Tenner关于符号对称群Z(2)(sic)S_n的工作。作为结果，我们证明了Gonzalez-Harris-Rojas Kirby-Smit Vega Garcia-Tenner关于符号排列的顶点的猜想。(c) 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Keyword:

Enumeration of permutation statistics

Pinnacle sets

Complex reflection groups

Generalized symmetric group

Peak sets

Pinnacles for complex reflection groups

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