Vol. 47, No. 2, 1973

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Primitive group rings

Donald Steven Passman

Vol. 47 (1973), No. 2, 499–506

Let K[G] denote the group ring of G over the field K. Until recently it had been an open question as to whether K[G] could be primitive, that is have a faithful irreducible module, if G1. An affirmative answer has just been given in the important paper of E. Formanek and R. L. Snider where a large number of examples of primitive group rings were exhibited. In this paper we continue this study.

Mathematical Subject Classification 2000
Primary: 20C05
Received: 22 June 1972
Published: 1 August 1973
Donald Steven Passman