Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes, II: Groups of type F, G, and H

DOI10.1142/S0218196720500265zbMath1482.11121arXiv1805.02040OpenAlexW2802988739MaRDI QIDQ5123711

Paula Macedo Lins de Araujo

Publication date: 29 September 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02040

zbMATH Keywords

conjugacy classesirreducible complex characters\(p\)-adic integrationzeta functionsfinitely generated nilpotent groupssigned permutation statistics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Conjugacy classes for groups (20E45) Other Dirichlet series and zeta functions (11M41) Finite nilpotent groups, (p)-groups (20D15) Group schemes (14L15) Combinatorial aspects of groups and algebras (05E16)

Related Items (6)

Enumerating conjugacy classes of graphical groups over finite fields ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ Linear relations with disjoint supports and average sizes of kernels ⋮ Generalized Igusa functions and ideal growth in nilpotent Lie rings ⋮ Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes. I: Arithmetic properties ⋮ Univariate and bivariate zeta functions of unipotent group schemes of type G

Uses Software

• Zeta

Cites Work

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• Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B

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