The largest irreducible representations of simple groups

DOI10.1112/plms/pds030zbMath1319.20013arXiv1010.5628OpenAlexW2072413430MaRDI QIDQ4907992

Gunter Malle, Michael J. Larsen, Pham Hũ'u Tiêp

Publication date: 27 February 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5628

zbMATH Keywords

finite simple groupsirreducible charactersfinite groups of Lie typecharacter degreesirreducible complex representationsdegree bounds

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (17)

Linear groups with Borel's property ⋮ Non-abelian Littlewood-Offord inequalities ⋮ Two conjectures on the Weil representations of finite symplectic and unitary groups ⋮ Groups with a character of large degree relative to a normal subgroup. ⋮ Complex group algebras of almost simple unitary groups ⋮ Character levels and character bounds for finite classical groups ⋮ Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ A bound on the order of a group having a large character degree. ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ Monodromy groups of Kloosterman and hypergeometric sheaves ⋮ Complex group algebras of almost simple groups with socle PSL_n(q) ⋮ On the diameters of McKay graphs for finite simple groups ⋮ The largest character degrees of the symmetric and alternating groups ⋮ Finite groups with an irreducible character of large degree. ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS ⋮ On a conjecture of Gluck.

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