PRODUCTS OF FREE GROUPS IN THE UNIT GROUP OF INTEGRAL GROUP-RINGS

Authors
JESPERS E LEAL G DELRIO A
Citation
E. Jespers et al., PRODUCTS OF FREE GROUPS IN THE UNIT GROUP OF INTEGRAL GROUP-RINGS, Journal of algebra, 180(1), 1996, pp. 22-40
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
180
Issue
1
Year of publication
1996
Pages
22 - 40
Database
ISI
SICI code
0021-8693(1996)180:1<22:POFGIT>2.0.ZU;2-O
Abstract
We classify the nilpotent finite groups G which are such that the unit group U(ZG) of the integral group ring ZG has a subgroup of finite in dex which is the direct product of noncyclic free groups. It is also s hown that nilpotent finite groups having this property can be characte rised by means of the Wedderburn decomposition of the rational group a lgebra QG. (C) 1996 Academic Press, Inc.