Vol. 34, No. 3, 1970

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Solvability of certain p-solvable linear groups of finite order

David Lawrence Winter

Vol. 34 (1970), No. 3, 827–835
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
Authors
David Lawrence Winter