Some simple groups which are determined by the set of their character degrees. II.

zbMath1156.20008MaRDI QIDQ2504983

Bertram Huppert

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108677

zbMATH Keywords

finite simple groupsSuzuki groupscharacter degreescharacter tablesprojective special linear groupsdegrees of irreducible complex characters

Mathematics Subject Classification ID

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

Related Items (12)

Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph ⋮ Recognizing the automorphism groups of Mathieu groups through their orders and large degrees of their irreducible characters. ⋮ Characterization of some simple groups by the multiplicity pattern. ⋮ A new characterization of the automorphism groups of Mathieu groups ⋮ A characterization of almost simple \(K_3\)-groups. ⋮ Finite groups with two composite character degrees ⋮ Characterization of some almost simple groups with socle PSp4(q) by their character degrees ⋮ Alternating and sporadic simple groups are determined by their character degrees. ⋮ Simple classical groups of Lie type are determined by their character degrees. ⋮ On Huppert's conjecture for the Monster and Baby Monster. ⋮ A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE ⋮ Mathieu groups and its degree prime-power graphs

Cites Work

• On finite rational groups and related topics
• Some simple groups which are determined by the set of their character degrees. I
• Charakterisierung der Gruppen PSL(\(2,p^1\)) und PSU(\(3,p^{2_1}\)) durch ihre Charaktertafel
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• On Ree's Series of Simple Groups
• Endliche Gruppen I
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On a class of doubly transitive groups
• Prime power degree representations of quasi-simple groups
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