On the number of homomorphisms from a finite group to a general linear group

Authors
Chigira, N Takegahara, Y Yoshida, T
Citation
N. Chigira et al., On the number of homomorphisms from a finite group to a general linear group, J ALGEBRA, 232(1), 2000, pp. 236-254
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
232
Issue
1
Year of publication
2000
Pages
236 - 254
Database
ISI
SICI code
0021-8693(20001001)232:1<236:OTNOHF>2.0.ZU;2-3
Abstract
We study the number of homomorphisms from a finite group to a general linea r group over a finite field. In particular, we give a generating function o f such numbers. Then the Rogers-Ramanujan identities are applicable. (C) 20 00 Academic Press.