Finite groups and degrees of irreducible monomial characters

DOI10.1142/S0219498816500730zbMath1337.20005MaRDI QIDQ2797028

Jiakuan Lu, Linna Pang

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groupsirreducible complex characterscharacter degreessolvable groupsnormal Sylow subgroupsnormal complementsirreducible monomial characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

MONOMIAL AND MONOLITHIC CHARACTERS OF FINITE SOLVABLE GROUPS ⋮ Solvable groups whose monomial, monolithic characters have prime power codegrees ⋮ \(\mathscr{P}\)-characters and the structure of finite solvable groups ⋮ ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS ⋮ Finite groups and degrees of irreducible monomial characters II ⋮ Normal Sylow subgroups and monomial Brauer characters ⋮ Monomial characters of finite solvable groups ⋮ ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II ⋮ Normal \(p\)-complements and monomial characters ⋮ Zeros of monomial Brauer characters ⋮ MONOLITHIC BRAUER CHARACTERS

Cites Work

• Group Characters and Normal Hall Subgroups
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