Characters of solvable groups induced by linear characters of Hall subgroups

DOI10.1007/BF01192775zbMath0498.20009OpenAlexW2017248534MaRDI QIDQ1171127

Roderick Gow

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192775

zbMATH Keywords

irreducible characterHall subgroupSchur indexfinite solvable grouplinear character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items

Real groups and Sylow 2-subgroups, Representations of finite groups, Certain monomial characters of \(p'\)-degree., Character heights and \(p\)-length in blocks of \(p\)-solvable groups., Linear characters of Sylow subgroups., Monolithic characters of real groups, Schur indices and irreducible character degrees in finite solvable groups, Fong characters in \(\pi\)-separable groups

Cites Work

• Unnamed Item
• Properties of the characters of groups of odd order with respect to a set of primes
• Characters of p'-degree in solvable groups
• Solvable and supersolvable groups in which every element is conjugate to its inverse
• Characters of Solvable and Symplectic Groups