In search of nonsolvable groups of central type

Robert Allen Liebler and Jay Edward Yellen

Vol. 82 (1979), No. 2, 485–492

DOI: 10.2140/pjm.1979.82.485

Abstract

In 1963 Iwahori and Matsumoto conjectured that a finite group possessing a central simple projective group algebra must be solvable. We verify this conjecture in case all composition factors are known simple groups.

Mathematical Subject Classification 2000

Primary: 20C15

Secondary: 20D05

Milestones

Received: 2 June 1978

Revised: 13 November 1978

Published: 1 June 1979