𝑝-rational characters and self-normalizing Sylow 𝑝-subgroups

DOI10.1090/S1088-4165-07-00263-4zbMath1146.20005MaRDI QIDQ5445076

Alexandre Turull, Gabriel Navarro, Pham Hũ'u Tiêp

Publication date: 28 February 2008

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

zbMATH Keywords

finite groupscharacter tablesself-normalizing Sylow subgroupsMcKay conjecture, \(p\)-rational characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representations of finite groups of Lie type (20C33)

Related Items (22)

Real groups and Sylow 2-subgroups ⋮ Variations on the Itô-Michler theorem on character degrees ⋮ Brauer correspondent blocks with one simple module ⋮ 2-Brauer correspondent blocks with one simple module ⋮ Decomposition numbers and local properties ⋮ The fields of values of the height zero characters ⋮ Sylow branching coefficients and a conjecture of Malle and Navarro ⋮ Character tables and defect groups ⋮ The continuity of 𝑝-rationality and a lower bound for 𝑝’-degree characters of finite groups ⋮ On p′-degree ℓ-Brauer characters of ℓ-solvable groups ⋮ Galois action on the principal block and cyclic Sylow subgroups ⋮ A reduction theorem for the Galois–McKay conjecture ⋮ Irreducible representations of odd degree ⋮ Groups with few \(p'\)-character degrees ⋮ The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic ⋮ Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups ⋮ Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture ⋮ Finite groups with odd Sylow normalizers ⋮ Sylow subgroups, exponents, and character values ⋮ On Self-Normalising Sylow $2$-Subgroups in Type A ⋮ On almost \(p\)-rational characters of \(p^{\prime}\)-degree ⋮ Characters and generation of Sylow 2-subgroups

Cites Work

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• Torsion in reductive groups
• Linear characters of Sylow subgroups.
• Real characters of \(p'\)-degree.
• The McKay conjecture and Galois automorphisms.
• Character correspondences in solvable groups.
• Zur Sylowstruktur auflösbarer Gruppen. II
• Self-normalizing Sylow subgroups

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