On semi-simple group algebras. II
Eugene Spiegel, Peter Trojan · Pacific Journal of Mathematics · 1976
For F a field and G a group, let FG denote the group algebra of G over F. Let ^ be a class of finite groups.Call the fields F and F equivalent on ^ if for all G, H G % FG = FH if and only if FG -FH.In [9] we began a study of this equivalence relation, discussing the case when ( 6 consists of all finite p -groups, for p an odd prime.In this note we continue our study of the equivalence relation.Section one deals with some general results, section two solves the equivalence problem when ^ is the class of ail finite 2-groups., and some remarks about the results are made in section three.