Counting conjectures and \(e\)-local structures in finite reductive groups
From MaRDI portal
Publication:6142427
DOI10.1016/j.aim.2023.109403arXiv2204.00428OpenAlexW4388812490MaRDI QIDQ6142427
Publication date: 21 December 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.00428
Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)
Cites Work
- Characters of odd degree
- Quasi-isolated blocks and Brauer's height zero conjecture.
- On the inductive Alperin-McKay and Alperin weight conjecture for groups with abelian Sylow subgroups.
- A reduction theorem for Dade's projective conjecture
- Computational proof of the Mackey formula for \(q>2\).
- The Bredon cohomology of subgroup complexes
- Counting characters in blocks. I
- Lusztig induction and \(\ell\)-blocks of finite reductive groups
- Generalized Harish-Chandra theory for unipotent characters of finite classical groups
- Generic Sylow theorems for the reductive groups over finite fields
- Representations of reductive groups over finite fields
- On the finiteness of the number of unipotent classes
- On blocks of finite reductive groups and twisted induction
- On unipotent blocks and their ordinary characters
- On the unipotent \(l\)-blocks of finite reductive groups when \(l\) is bad
- The blocks of finite general linear and unitary groups
- On \(e\)-cuspidal pairs of finite groups of exceptional Lie type
- Jordan decomposition for the Alperin-McKay conjecture
- Character triple conjecture for \(p\)-solvable groups
- On the Alperin-McKay conjecture for simple groups of type A
- Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\)
- Equivariance and extendibility in finite reductive groups with connected center.
- On Brauer's height zero conjecture
- A reduction theorem for the McKay conjecture.
- Alperin's weight conjecture in terms of equivariant Bredon cohomology
- The McKay conjecture and central isomorphic character triples
- A reduction theorem for the AlperinâMcKay conjecture
- Inductive McKay condition in defining characteristic
- Some Remarks on a Conjecture of Alperin
- Counting characters in blocks, II.
- The Block Theory of Finite Group Algebras
- Representations of Finite Groups of Lie Type
- The Character Theory of Finite Groups of Lie Type
- Inductive McKay condition for finite simple groups of type đ˘
- Quasi-Isolated Elements in Reductive Groups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item