Radical subgroups of finite reductive groups
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909377323073536 |
|---|---|
| author | Feng, Zhicheng Yu, Jun Zhang, Jiping |
| author_facet | Feng, Zhicheng Yu, Jun Zhang, Jiping |
| contents | 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 $F_4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00156 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Radical subgroups of finite reductive groups Feng, Zhicheng Yu, Jun Zhang, Jiping Representation Theory Group Theory 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 $F_4$. |
| title | Radical subgroups of finite reductive groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2401.00156 |