Real class sizes and real character degrees

DOI10.1017/S0305004110000307zbMath1210.20010MaRDI QIDQ3068828

Gabriel Navarro, Robert M. Guralnick, Pham Hũ'u Tiêp

Publication date: 17 January 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

irreducible charactersfinite \(p\)-solvable groupsreal conjugacy classesreal-valued charactersIto-Michler theoremreal class sizesreal character degrees

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (9)

Real class sizes ⋮ Real-imaginary conjugacy classes and real-imaginary irreducible characters in finite groups ⋮ On the number of irreducible real-valued characters of a finite group ⋮ Orders of real elements in finite groups ⋮ Groups with some arithmetic conditions on real class sizes. ⋮ 2-parts of real class sizes ⋮ Adequate subgroups and indecomposable modules ⋮ Real Brauer characters ⋮ Jordan decomposition and real-valued characters of finite reductive groups with connected center

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