Central units of integral group rings

Citation
Cp. Milies et Sk. Sehgal, Central units of integral group rings, COMM ALGEB, 27(12), 1999, pp. 6233-6241
Citations number
5
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
12
Year of publication
1999
Pages
6233 - 6241
Database
ISI
SICI code
0092-7872(1999)27:12<6233:CUOIGR>2.0.ZU;2-A
Abstract
In this note we give a description of the central units of an integral grou p ring ZZG for an arbitrary group G. We also give a set of generators of a subgroup of finite index in the centre of the unit group when G is any grou p whose FC-centre is finitely generated. Jespers, Parmenter and Sehgal did the same for finitely generated nilpotent groups.