Vol. 45, No. 2, 1973

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Splitting of group representations

Robert Patrick Martineau

Vol. 45 (1973), No. 2, 571–575
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(2,2α) when K = GF(2α), 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
Authors
Robert Patrick Martineau