Primitive group rings

Donald Steven Passman

Vol. 47 (1973), No. 2, 499–506

DOI: 10.2140/pjm.1973.47.499

Abstract

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 G≠⟨1⟩. 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

Milestones

Received: 22 June 1972

Published: 1 August 1973