Supercharacters of the adjoint group of a finite radical ring

DOI10.1515/JGT.2008.046zbMath1197.20006MaRDI QIDQ3534800

Carlos A. M. André, Alejandro P. Nicolas

Publication date: 5 November 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

irreducible charactersadjoint groupslinear complex charactersirreducible constituentssupercharactersalgebra groupsorthogonal decompositionsunitriangular groups over finite fieldsfinite radical rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Jacobson radical, quasimultiplication (16N20)

Related Items (12)

Superinduction for pattern groups. ⋮ Combinatorial methods of character enumeration for the unitriangular group. ⋮ An analog of nilpotence arising from supercharacter theory ⋮ Restrictions of rainbow supercharacters ⋮ Iterative character constructions for algebra groups. ⋮ Exotic characters of unitriangular matrix groups. ⋮ Representations of McLain groups ⋮ Supercharacters of unipotent and solvable groups ⋮ Branching rules in the ring of superclass functions of unipotent upper-triangular matrices ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups. ⋮ A supercharacter theory for the Sylow \(p\)-subgroups of the finite symplectic and orthogonal groups. ⋮ A supercharacter theory for involutive algebra groups.

Cites Work

• Super-characters of finite unipotent groups of types \(B_n\), \(C_n\) and \(D_n\).
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• The number of conjugacy classes in a finite group
• On Frobeniusean algebras. I
• On Frobeniusean algebras. 2
• Basic characters of the unitriangular group (for arbitrary primes)
• The Centers of a Radical Ring
• Duality for modules over finite rings and applications to coding theory
• Hecke algebras for the basic characters of the unitriangular group
• On the Adjoint Group of a Radical Ring
• On the Adjoint Group of a Radical Ring
• Supplementary remarks on Frobeniusean algebras, I

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