UNITS IN GROUP-RINGS OF FREE-PRODUCTS OF PRIME CYCLIC GROUPS

Authors
DOKUCHAEV MA SINGER MLS
Citation
Ma. Dokuchaev et Mls. Singer, UNITS IN GROUP-RINGS OF FREE-PRODUCTS OF PRIME CYCLIC GROUPS, Canadian journal of mathematics, 50(2), 1998, pp. 312-322
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
50
Issue
2
Year of publication
1998
Pages
312 - 322
Database
ISI
SICI code
0008-414X(1998)50:2<312:UIGOFO>2.0.ZU;2-8
Abstract
Let G be a free product of cyclic groups of prime order. The structure of the unit group U(QG) of the rational group ring QG is given in ter ms of free products and amalgamated free products of groups. As an app lication, all finite subgroups of U(QG), up to conjugacy, are describe d and the Zassenhaus Conjecture for finite subgroups in ZG is proved. A strong version of the Tits Alternative for U(QG) is obtained as a co rollary of the structural result.