The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers
DOI10.1016/j.jpaa.2023.107469zbMath1530.20029arXiv2110.10946OpenAlexW4380677621MaRDI QIDQ6051107
Publication date: 19 September 2023
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.10946
finite groups of Lie typeMcKay conjecturelocal-global conjecturesMcKay-Navarro conjectureGalois action on characters
Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characters of odd degree
- Some unitary groups as Galois groups over \({\mathbb{Q}}\)
- On the inductive McKay condition in the defining characteristic.
- Extensions of unipotent characters and the inductive McKay condition.
- The McKay conjecture for exceptional groups and odd primes.
- Structure of Ree groups
- The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
- CHEVIE -- A system for computing and processing generic character tables
- The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic
- Galois-equivariant McKay bijections for primes dividing \(q - 1\)
- Galois group action and Jordan decomposition of characters of finite reductive groups with connected center
- The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
- Equivariance and extendibility in finite reductive groups with connected center.
- A reduction theorem for the McKay conjecture.
- On the extension of \(G_2(3^{2n+1})\) by the exceptional graph automorphism.
- The McKay conjecture and Galois automorphisms.
- On the inductive McKay-Navarro condition for finite groups of Lie type in their defining characteristic
- Characters of Reductive Groups over a Finite Field. (AM-107)
- Centralizers of Semisimple Elements in Finite Twisted Groups of Lie Type
- Groupes réductifs non connexes
- The inductive McKay–Navarro conditions for the prime 2 and some groups of Lie type
- A reduction theorem for the Galois–McKay conjecture
- The Character Theory of Finite Groups of Lie Type
- Rational irreducible characters and rational conjugacy classes in finite groups
- Height 0 characters of finite groups of Lie type
- The Inductive McKay Condition for Simple Groups Not of Lie Type
- The Character Tables for SL(3, q), SU(3, q2), PSL(3, q), PSU(3, q2)
- Die unipotenten charaktere von 2F4(q2)
This page was built for publication: The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers