Determining group structure from sets of irreducible character degrees

DOI10.1006/jabr.1998.7435zbMath0915.20003OpenAlexW2081512904MaRDI QIDQ1270407

Mark L. Lewis

Publication date: 7 July 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7435

zbMATH Keywords

Frobenius groupsirreducible characterssolvable groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (19)

A direct product coming from a particular set of character degrees ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Finite groups with a given set of character degrees. ⋮ Groups with Four Character Degrees and Derived Length Four ⋮ The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. ⋮ Finite groups with two composite character degrees ⋮ Square character degree graphs yield direct products. ⋮ Bounding the derived length for a given set of character degrees. ⋮ Some character degree conditions implying solvability of finite groups. ⋮ An overview on the bipartite divisor graph for the set of irreducible character degrees ⋮ DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. II ⋮ Determining group structure from the sets of character degrees. ⋮ Bounding Fitting heights of character degree graphs ⋮ Determining group structure by set of conjugacy class sizes ⋮ Irreducible character degree sets of solvable groups ⋮ Some solvable character degree sets ⋮ Non-solvable groups having five irreducible character degrees ⋮ Recognizing direct products from their conjugate type vectors ⋮ Unnamed Item

Cites Work

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• Nonabelian Fully-Ramified Sections
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• Derived lengths of solvable groups satisfying the one-prime hypothesis
• Characters of Solvable and Symplectic Groups
• Endliche Gruppen I
• Group Characters and Normal Hall Subgroups

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