Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture

DOI10.1090/tran/7590OpenAlexW2963563764WikidataQ123133162 ScholiaQ123133162MaRDI QIDQ5222744

Amanda A. Schaeffer Fry

Publication date: 3 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03923

zbMATH Keywords

charactersfinite simple groupsMcKay conjecturelocal-global conjecturesself-normalizing Sylow subgroupsLie typeHarish-Chandra series

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)

Related Items (18)

Galois-equivariant McKay bijections for primes dividing \(q - 1\) ⋮ The inductive McKay–Navarro conditions for the prime 2 and some groups of Lie type ⋮ Decomposition numbers and local properties ⋮ Galois group action and Jordan decomposition of characters of finite reductive groups with connected center ⋮ The Navarro-Tiep Galois conjecture for \(p=2\) ⋮ Unnamed Item ⋮ Height zero conjecture with Galois automorphisms ⋮ Character tables and defect groups ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Galois automorphisms and classical groups ⋮ Galois action on the principal block and cyclic Sylow subgroups ⋮ A reduction theorem for the Galois–McKay conjecture ⋮ The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic ⋮ The fields of values of characters of degree not divisible byp ⋮ Sylow subgroups, exponents, and character values ⋮ Harish-Chandra cuspidal pairs ⋮ On almost \(p\)-rational characters of \(p^{\prime}\)-degree ⋮ Characters and generation of Sylow 2-subgroups

Cites Work

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