Solvability of certain p-solvable linear groups of finite order

David Lawrence Winter

Vol. 34 (1970), No. 3, 827–835

DOI: 10.2140/pjm.1970.34.827

Abstract

Let p be an odd prime. Let G be a finite p-solvable group which does not have a normal p-Sylow subgroup. Let G have a faithful, irreducible representation of degree n over the complex number field. It is proved that if n = p − 1,p or p + 1,G is solvable.

Mathematical Subject Classification

Primary: 20.75

Milestones

Received: 7 January 1970

Published: 1 September 1970