PROJECTIVE SPECIAL LINEAR GROUPS PSL4(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

DOI10.1142/S0219498812501083zbMath1295.20007arXiv1108.0010OpenAlexW2963962697MaRDI QIDQ3144374

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

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0010

zbMATH Keywords

finite simple groupsirreducible complex charactersprojective special linear groupssets of character degreesHuppert conjecture

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) Representations of finite groups of Lie type (20C33)

Related Items (10)

Complex group algebras of almost simple unitary groups ⋮ On groups with the same character degrees as almost simple groups with socle small Ree groups ⋮ Groups with the same character degrees as almost simple Suzuki groups ⋮ Characterization of some almost simple groups with socle PSp4(q) by their character degrees ⋮ Huppert's conjecture and almost simple groups ⋮ Complex group algebras of almost simple groups with socle PSL_n(q) ⋮ Simple groups with few irreducible character degrees ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE ⋮ Isomorphism problem for almost simple linear groups

Cites Work

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• Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).
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• Brauer characters with cyclotomic field of values.
• Deux groupes finis distincts ayant la même algèbre de groupe sur tout corps
• Verifying Huppert's Conjecture for PSL₃(q) and PSU₃(q²)
• Character degree graphs that are complete graphs
• On the structure of parabolic subgroups
• Prime power degree representations of quasi-simple groups

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