Real‐Valued Characters of Solvable Groups

DOI10.1112/blms/7.2.132zbMath0324.20012OpenAlexW1978909421MaRDI QIDQ4087400

Roderick Gow

Publication date: 1975

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/7.2.132

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

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Odd-degree rational irreducible characters, Langlands reciprocity for certain Galois extensions, Certain monomial characters of \(p'\)-degree., A criterium for monomiality., Character heights and \(p\)-length in blocks of \(p\)-solvable groups., Orthogonal irreducible representations of finite solvable groups in odd dimension, Solvable groups having only three rational classes of 2-elements., Monolithic characters of real groups, 2-length and rational characters of odd degree., Irreducible solvable linear groups of odd degree, Characters of groups with quotients of odd order