Reduction for characters of finite algebra groups.

DOI10.1016/J.JALGEBRA.2010.07.048zbMath1220.20011arXiv1005.5111OpenAlexW2964287556MaRDI QIDQ630858

Anton Evseev

Publication date: 22 March 2011

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

Full work available at URL: https://arxiv.org/abs/1005.5111

zbMATH Keywords

numbers of irreducible charactersnilpotent algebrasunitriangular groupsalgebra groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (19)

Characters of 2-layered Heisenberg groups ⋮ On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups ⋮ Representations of Unitriangular Groups ⋮ Enumerating classes and characters of 𝑝-groups ⋮ Combinatorial methods of character enumeration for the unitriangular group. ⋮ Characters arising from monomial coadjoint orbits for finite pattern groups ⋮ Iterative character constructions for algebra groups. ⋮ A supercharacter theory for Sylow p-subgroups of the Steinberg triality groups ⋮ Exotic characters of unitriangular matrix groups. ⋮ Counting conjugacy classes for unitriangular matrices. ⋮ Supercharacters and pattern subgroups in the upper triangular groups ⋮ Conjugacy Classes in Sylowp-Subgroups of Finite Chevalley Groups in Bad Characteristic ⋮ Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups. ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ Heisenberg characters, unitriangular groups, and Fibonacci numbers ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂ ⋮ Characters of unipotent radicals of standard parabolic subgroups with 3 parts

Uses Software

• Magma

Cites Work

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• Computing character degrees in p-groups
• Conjugacy classes in unitriangular matrices.
• On the characters and commutators of finite algebra groups.
• Characters of groups associated with finite algebras
• Some algorithms for the calculation of conjugacy classes in the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\)
• Counting characters of upper triangular groups.
• Enumerating p -Groups. I: Inequalities
• Involutions and characters of upper triangular matrix groups

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