Character Triple Conjecture : towards the inductive condition for Dade’s Conjecture in nondefining characteristic / by Damiano Rossi. Wuppertal, 2021
Inhalt
- Contents
- Declaration
- Acknowledgements
- Introduction
- Preliminaries
- Notation
- Representations and characters
- Blocks
- Global-Local Counting Conjectures
- Dade's Projective Conjecture
- Character Triples
- Character Triple Isomorphisms
- Projective Representations
- Relations on Character Triples
- Construction of N-central and N-block isomorphism
- The Character Triple Conjecture
- Character Triple Conjecture for p-Solvable Groups
- N-block isomorphic character triples and Glauberman correspondence
- N-block isomorphic character triples and Fong correspondence
- Structure of a minimal counterexample
- On the Inductive Alperin–McKay Condition
- Representation Theory of Finite Groups of Lie Type
- Finite groups of Lie type
- Linear algebraic groups
- Finite groups of Lie type
- Duality
- Regular embeddings
- Automorphisms
- Polynomial orders and E-split Levi subgroups
- Representation theory of finite groups of Lie type
- Brauer–Lusztig Blocks and e-Harish-Chandra Series
- Good primes and e-split Levi subgroups
- e-Harish-Chandra series and -blocks
- Brauer–Lusztig blocks
- Cuspidal Brauer–Lusztig triples have central defect
- Bijections for Groups with Connected Center
- Generalized e-Harish-Chandra theory for groups with connected center
- Equivariant maximal extendibility
- e-Harish-Chandra series and regular embeddings
- Towards the Character Triple Conjecture for Groups of Lie Type
- Criteria for Condition 9.1 and Condition 9.2.22
- Bibliography
- Index