Proceedings of the Glasgow Mathematical Association

Table of Contents - 1962 - Volume 5, Issue 03  

Research Article

Group Algebras With Central Radicals

D. A. R. Wallacea1

a1 The University, Glasgow

It is well known that when the characteristic p(≠ 0) of a field divides the order of a finite group, the group algebra possesses a non-trivial radical and that, if p does not divide the order of the group, the group algebra is semi-simple. A group algebra has a centre, a basis for which consists of the class-sums. The radical may be contained in this centre; we obtain necessary and sufficient conditions for this to happen.

(Received January 11 1961)