Splitting of group representations

Robert Patrick Martineau

Vol. 45 (1973), No. 2, 571–575

DOI: 10.2140/pjm.1973.45.571

Abstract

Let G be a finite group, and V,W two modules over the group-ring KG, where K is some field. In this note is described a method for proving that every KG-extension of V by W is a split extension. The method is applied to the groups PSL(2,2^α) when K = GF(2^α), giving in this case an alternative proof of a theorem of G. Higman.

Mathematical Subject Classification 2000

Primary: 20C05

Milestones

Received: 9 November 1971

Published: 1 April 1973