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Pinnacles for Complex Reflection Groups
Aaron Burnham-Schmidt, Nicolle Gonz\'alez
https://arxiv.org/abs/2510.03580 https://arxiv.org/pdf/2510.03580

Pinnacles for Complex Reflection Groups
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 Ga…