On the enumeration of orbits of unipotent groups over finite fields
type: Item
instance of: scholarly article
title: On the enumeration of orbits of unipotent groups over finite fields
author: Tobias Rossmann
published in: Proceedings of the American Mathematical Society
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11G25
zbMATH DE Number: 7972315
zbMATH Keywords: conjugacy classes
zbMATH Keywords: linear orbits
zbMATH Keywords: unipotent groups
zbMATH Keywords: average sizes of kernels
MaRDI profile type: Publication
cites work: Matroids, motives, and a conjecture of Kontsevich.
cites work: A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
cites work: Class numbers of \(p\)-groups of a given order.
cites work: Motivic integration
cites work: Q5602064
cites work: Counting \(p\)-groups and nilpotent groups
cites work: Q5489371
cites work: Non-PORC behaviour of a class of descendant \(p\)-groups.
cites work: COUNTING CONJUGACY CLASSES
cites work: Integral forms of linear algebraic groups
cites work: Q4342000
cites work: Enumerating p -Groups. I: Inequalities
cites work: Enumerating p -Groups, II: Problems Whose Solution is PORC
cites work: Q2785517
cites work: The groups with order \(p^7\) for odd prime \(p\).
cites work: Enumerating classes and characters of 𝑝-groups
cites work: Rational Points on Varieties
cites work: Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras
cites work: The average size of the kernel of a matrix and orbits of linear groups
cites work: Stability results for local zeta functions of groups algebras, and modules
cites work: The average size of the kernel of a matrix and orbits of linear groups. II: Duality
cites work: Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
cites work: Berkeley Lectures on p-adic Geometry
cites work: Q3094456
cites work: Q3225387
cites work: Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B
cites work: Conjugacy classes in unitriangular matrices.
cites work: On automorphisms of groups, rings, and algebras
DOI: 10.1090/PROC/17030
description: scientific article; zbMATH DE number 7972315