Abstract
Let R (G) be the group ring of a finite group G with coefficients from a ring R. The isomorphism problem of group rings, namely, when for a fixed ring Rand two finite groups G and H if R(G) and R(H) are isomorphic so are G and H, remains unsettled in general, even when R is restricted to be the ring of rational integers Z. In case G is abelian, and R is Z, Q (the rational number field), Zp (the field of p elements) or OE (the ring of algebraic integers in an algebraic number field E), the problem has been solved by HIGMAN[7], PERLISand WALKER[8], DESKINS[5] and COHNand LIVINGSTONE [2] respectively. If G is not assumed to be abelian some progress has been made by COLEMAN[3] and COHNand LIVINGSTONE [2]. In this paper we study group algebras of groups with
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
