Real-valued and 2-rational group characters

DOI10.1016/0021-8693(79)90288-6zbMath0431.20005OpenAlexW2093167015MaRDI QIDQ1138078

Roderick Gow

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90288-6

zbMATH Keywords

conjugacy classesSylow 2-subgroupsreal representationirreducible characterreal-valued characters2-rational charactersreal 2-blocksBrauer-Witt theoremBrauer's problemFrobenius-Schur-invariantreal element

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

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Cites Work

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• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• Real-valued characters and the Schur index
• On the existence of p-blocks with given defect groups
• On the Schur indices of characters of the exceptional Weyl groups
• Some applications of the theory of blocks of characters of finite groups. IV
• A Note on the Brauer-Speiser Theorem