TWISTED GROUP-RINGS WHOSE UNITS FORM AN FC-GROUP

Authors
BOVDI V
Citation
V. Bovdi, TWISTED GROUP-RINGS WHOSE UNITS FORM AN FC-GROUP, Canadian journal of mathematics, 47(2), 1995, pp. 274-289
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
47
Issue
2
Year of publication
1995
Pages
274 - 289
Database
ISI
SICI code
0008-414X(1995)47:2<274:TGWUFA>2.0.ZU;2-9
Abstract
Let U(K(lambda)G) be the group of units of the infinite twisted group algebra K(lambda)G over a field K. We describe the FC-centre Delta U o f LI(K(lambda)G) and give a characterization of the groups G and field s K for which LI(K(lambda)G) = Delta U. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus theorem.