The number of conjugacy classes in pattern groups is not a polynomial function

DOI10.1515/jgt.2010.081zbMath1253.20027OpenAlexW2021545471MaRDI QIDQ2882813

Zoltán Halasi, Péter P. Pálfy

Publication date: 7 May 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/9860/1/jgt.pdf

zbMATH Keywords

numbers of conjugacy classespolynomial functionspattern groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (8)

On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ Upper bounds on the number of conjugacy classes in unitriangular groups. ⋮ The Hopf monoid on nonnesting supercharacters of pattern groups ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ A conjecture about characters of finite pattern groups ⋮ On the characters of the Sylow -subgroups of untwisted Chevalley groups ⋮ Representations of McLain groups ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups.

Cites Work

• Conjugacy classes in unitriangular matrices.
• Counting characters of upper triangular groups.
• Enumerating p -Groups. I: Inequalities
• Supercharacter formulas for pattern groups
• A nilpotent group and its elliptic curve: non-uniformity of local zeta functions of groups

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