On the number of homomorphisms from a finite group to a general linear group
type: Item
instance of: scholarly article
title: On the number of homomorphisms from a finite group to a general linear group
zbMATH Open document ID: 0984.20012
author: Naoki Chigira
author: Yugen Takegahara
author: Tomoyuki Yoshida
published in: Journal of Algebra
publication date: 2002-04-28T00:00:00Z
review text: The authors compute the number of homomorphisms from a finite group \(G\) into a finite general linear group \(\text{GL}(n,q)\). The generating functions for these numbers lead to identities of Rogers-Ramanujan type.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 1539385
zbMATH Keywords: Rogers-Ramanujan identity
zbMATH Keywords: numbers of homomorphisms
zbMATH Keywords: finite groups
zbMATH Keywords: finite general linear groups
zbMATH Keywords: generating functions
MaRDI profile type: Publication
full work available at URL: jabr.1999.8398
OpenAlex ID: W2088268794
cites work: \(|\Hom(A,G)|\). II.
cites work: Q3922829
cites work: Q4040884
cites work: Q3947818
cites work: Q4344108
cites work: On the conjugacy classes in the unitary, symplectic and orthogonal groups
cites work: \(|\Hom(A,G)|\).
DOI: 10.1006/JABR.1999.8398
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description: scientific article; zbMATH DE number 1539385