\(p\)-parts of character degrees and the index of the Fitting subgroup.

DOI10.1016/j.jalgebra.2014.04.011zbMath1305.20007OpenAlexW1998284259MaRDI QIDQ403344

Mark L. Lewis, Gabriel Navarro, Thomas R. Wolf

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.04.011

zbMATH Keywords

finite solvable groupsSylow subgroupscharacter degreesorbit sizesFitting subgroup

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 (13)

p-parts of character degrees ⋮ \(p\)-parts of co-degrees of irreducible characters ⋮ On \(p\)-parts of Brauer character degrees and \(p\)-regular conjugacy class sizes of finite groups ⋮ Nonsolvable groups whose irreducible character degrees have special 2-parts ⋮ Monomial characters of finite solvable groups ⋮ On \(p\)-parts of character degrees and conjugacy class sizes of finite groups ⋮ A NOTE ON -PARTS OF BRAUER CHARACTER DEGREES ⋮ On \({p} \)-parts of character codegrees ⋮ ON -PARTS OF CONJUGACY CLASS SIZES OF FINITE GROUPS ⋮ Regular orbits of finite primitive solvable groups. III ⋮ On finite groups with square-free conjugacy class sizes ⋮ A note on \({p}\)-parts of conjugacy class sizes of finite groups ⋮ Regular orbits of finite primitive solvable groups, the final classification

Cites Work

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• Regular orbits of finite primitive solvable groups. II.
• Orbits of the actions of finite solvable groups.
• Orbit sizes, character degrees and Sylow subgroups.
• Blocks of small defect.
• GENERALIZING A THEOREM OF HUPPERT AND MANZ
• Blocks of Small Defect

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