On Huppert's Conjecture for Alternating Groups of Low Degrees

DOI10.1142/S1005386715000267zbMath1317.20005WikidataQ123154230 ScholiaQ123154230MaRDI QIDQ5252612

Hung P. Tong-Viet, Hung Ngoc Nguyen, Thomas P. Wakefield

Publication date: 2 June 2015

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

zbMATH Keywords

finite simple groupsirreducible charactersalternating groupssets of character degreesHuppert conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (6)

Huppert's conjecture for alternating groups ⋮ A new characterization of the automorphism groups of Mathieu groups ⋮ Complex group algebras of the direct product of non-isomorphic Suzuki groups ⋮ Some nonsolvable character degree sets ⋮ Degrees of irreducible representations of direct products of nonabelian simple groups ⋮ Some character degree sets implying nonsolvability

Cites Work

• Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).
• Verifying Huppert's conjecture for \(^2G_2(q^2)\).
• On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\).
• An answer to a question of Isaacs on character degree graphs.
• Verifying Huppert's Conjecture for PSL₃(q) and PSU₃(q²)
• Character degree graphs that are complete graphs

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