Weights for $\pi$-partial characters of $\pi$-separable groups
Group Theory
2024-04-23 v1 Representation Theory
Abstract
The aim of this paper is to confirm an inequality predicted by Isaacs and Navarro in 1995, which asserts that for any -subgroup of a -separable group , the number of -weights of with as the first component always exceeds that of irreducible -partial characters of with as their vertex. We also give some sufficient condition to guarantee that these two numbers are equal, and thereby strengthen their main theorem on the -version of the Alperin weight conjecture.
Cite
@article{arxiv.2404.14125,
title = {Weights for $\pi$-partial characters of $\pi$-separable groups},
author = {Xuewu Chang and Ping Jin},
journal= {arXiv preprint arXiv:2404.14125},
year = {2024}
}