TORSION UNITS IN INTEGRAL GROUP-RINGS OF SOLVABLE-GROUPS

Authors
DOKUCHAEV MA SEHGAL SK
Citation
Ma. Dokuchaev et Sk. Sehgal, TORSION UNITS IN INTEGRAL GROUP-RINGS OF SOLVABLE-GROUPS, Communications in algebra, 22(12), 1994, pp. 5005-5020
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
22
Issue
12
Year of publication
1994
Pages
5005 - 5020
Database
ISI
SICI code
0092-7872(1994)22:12<5005:TUIIGO>2.0.ZU;2-3
Abstract
A weaker version of the Zassenhaus conjecture for torsion units in int egral group rings ZG is proved if G is either abelian-by-polycyclic or metabelian. As a consequence we obtain Bovdi's conjecture for torsion units in ZG for metabelian groups.