Year: 2023
Type: preprint
Abstract: Radical subgroups play an important role in both finite group theory and representation theory. This is the first of a series of papers of ours in classifying radical $p$-subgroups of finite reductive groups and in verifying the inductive blockwise Alperin weight condition for them, contributing to the program of proving the Alperin weight conjecture by verifying its inductive condition for finite simple groups. In this paper we present a uniform method for classifying radical subgroups of finite reductive groups. As applications, we investigate the inductive blockwise Alperin weight condition for classical groups, as well as groups of type $F_4$.
Source: arXiv (Cornell University)
Authors: Feng, Zhicheng, Yu, Jun, Zhang, Jiping
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2214856733, G4917909445
OpenAlex ID: W4390529093