Authors
Citation
A. Valenti, TORSION UNITS IN INTEGRAL GROUP-RINGS, Proceedings of the American Mathematical Society, 120(1), 1994, pp. 1-4
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00029939
Volume
120
Issue
1
Year of publication
1994
Pages
1 - 4
Database
ISI
SICI code
0002-9939(1994)120:1<1:TUIIG>2.0.ZU;2-Z
Abstract
Let G = [a] times sign with bar connected to right of it X where [a] i
s a cyclic group of order n, X is an abelian group of order m, and (n,
m) = 1. We prove that if ZG is the integral group ring of G and H is
a finite group of units of augmentation one of ZG, then there exists a
rational unit gamma such that H gamma subset of or equal to G.