Abstract
In this paper, we show that the group rings of several families of groups are primitive. LetA andB be two groups with 1<|A|≦|B| andB infinite. Then the main result is that ifK is a field for whichK[Aω] is semiprimitive, thenK[A∫B] is primitive. In addition, the field may be replaced by a subdomian in caseA is not torsion orA is not locally finite andK has characteristic 0. Certain other wreath products and free products are discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.