Verifying Huppert's Conjecture for PSL3(q) and PSU3(q2)

DOI10.1080/00927870802625661zbMath1185.20014OpenAlexW2168804524MaRDI QIDQ3395626

Thomas P. Wakefield

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802625661

zbMATH Keywords

finite simple groupsirreducible charactersunitary groupslinear groupssets of character degreessimple groups of Lie typeHuppert conjecture

Mathematics Subject Classification ID

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

Related Items (19)

Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph ⋮ A new characterization of the automorphism groups of Mathieu groups ⋮ A new characterization of Mathieu-groups by the order and one irreducible character degree. ⋮ Complex group algebras of almost simple unitary groups ⋮ On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\). ⋮ Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\). ⋮ Verifying Huppert's conjecture for \(^2G_2(q^2)\). ⋮ Alternating and sporadic simple groups are determined by their character degrees. ⋮ Symmetric groups are determined by their character degrees. ⋮ The simple Ree groups \(^2F_4(q^2)\) are determined by the set of 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. ⋮ Some nonsolvable character degree sets ⋮ Degrees of irreducible representations of direct products of nonabelian simple groups ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ Mathieu groups and its degree prime-power graphs ⋮ Some character degree sets implying nonsolvability ⋮ On Huppert's Conjecture for Alternating Groups of Low Degrees ⋮ PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

Cites Work

• Unnamed Item
• Unnamed Item
• Rational matrix groups of a special type
• Extending the Steinberg representation
• Degree graphs of simple orthogonal and symplectic groups.
• Nonsolvable groups satisfying the one-prime hypothesis.
• Character degree graphs that are complete graphs
• Nondivisibility among character degrees II: Nonsolvable groups
• Prime power degree representations of quasi-simple groups

This page was built for publication: Verifying Huppert's Conjecture for PSL₃(q) and PSU₃(q²)