On the Structure of Group Algebras, I
- 1 January 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 17, 583-593
- https://doi.org/10.4153/cjm-1965-058-2
Abstract
With this paper we begin a study of the structure of the group algebra RG of a finite group G over the ring of algebraic integers R in an algebraic number field k. The basic question is whether non-isomorphic groups can have isomorphic algebras over R. We shall show that this is impossible if G is (a) abelian, (b) Hamiltonian, (c) one of a special class of p-groups.Keywords
This publication has 3 references indexed in Scilit:
- On Groups of Order p 3Canadian Journal of Mathematics, 1963
- Finite groups with isomorphic group algebrasTransactions of the American Mathematical Society, 1962
- Abelian group algebras of finite orderTransactions of the American Mathematical Society, 1950