The order of the conjugacy classes of \(\text{GL}(n,F)\)
type: Item
instance of: scholarly article
title: The order of the conjugacy classes of \(\text{GL}(n,F)\)
zbMATH Open document ID: 0890.20035
author: E. Spiegel
published in: Advances in Mathematics
publication date: 1998-05-11T00:00:00Z
review text: The author is concerned with the order (cardinality) of conjugacy classes in the groups \(\text{GL}(n,F)\) of invertible matrices over finite fields \(F\). The answer involves both binomial and \(q\)-binomial coefficients.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 1042602
zbMATH Keywords: orders of conjugacy classes
zbMATH Keywords: general linear groups over finite fields
MaRDI profile type: Publication
full work available at URL: aima.1997.1643
OpenAlex ID: W2014216570
cites work: Pairs of commuting matrices over a finite field
cites work: On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
cites work: The Characters of the Finite General Linear Groups
cites work: On the Möbius algebra of a partially ordered set
cites work: Q3222326
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
DOI: 10.1006/AIMA.1997.1643
description: scientific article; zbMATH DE number 1042602