Nonsolvable Groups All of Whose Character Degrees are Odd-Square-Free

DOI10.1080/00927871003652652zbMath1232.20011OpenAlexW1974046655MaRDI QIDQ2995336

Donald L. White, Mark L. Lewis

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003652652

zbMATH Keywords

finite simple groupscharacter degreesnonsolvable groupssquare-free degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representations of sporadic groups (20C34) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (5)

Nonsolvable groups with no prime dividing four character degrees ⋮ p-parts of character degrees ⋮ Non-solvable groups all of whose indices are odd-square-free ⋮ Character degrees of extensions of the Suzuki groups 2B2(q2) ⋮ Nonsolvable groups satisfying the prime-power hypothesis.

Uses Software

• GAP
• ATLAS Group Representations

Cites Work

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• Degree-problems. I: Squarefree character degrees
• The Magma algebra system. I: The user language
• Degree graphs of simple orthogonal and symplectic groups.
• Characters of Reductive Groups over a Finite Field. (AM-107)
• GENERALIZING A THEOREM OF HUPPERT AND MANZ
• Degree Graphs of Simple Linear and Unitary Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On a class of doubly transitive groups

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