Involutions and characters of upper triangular matrix groups

DOI10.1090/S0025-5718-05-01705-9zbMath1087.20007MaRDI QIDQ5315432

I. M. Isaacs, Karagueuzian, Dikran B.

Publication date: 8 September 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

character degreesnumbers of involutionsreal-valued charactersupper triangular matrix groupsFrobenius-Schur formula

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05)

Related Items

Real elements in T_n(K), Expressing infinite matrices over rings as products of involutions, Expressing infinite matrices as products of involutions, Reduction for characters of finite algebra groups., Iterative character constructions for algebra groups., Exotic characters of unitriangular matrix groups., How to construct a triangular matrix of a given order, Supercharacters of unipotent and solvable groups, Supercharacters for finite groups of triangular type, Verbal subgroups in the group of triangular matrices over field of characteristic 0., Ограничение и индуцирование суперхарактеров конечных групп треугольного типа, Involutions in triangular groups

Uses Software

• Magma

Cites Work

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• Computing character degrees in p-groups
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Conjugacy in groups of upper triangular matrices
• Numbers of classes and chains of subgroups in finite groups
• Computing chief series, composition series and socles in large permutation groups