Vol. 187, No. 2, 1999

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Orbit sizes and character degrees

Thomas Michael Keller

Vol. 187 (1999), No. 2, 317–332
Abstract

The objective of this paper is to develop criteria that guarantee that a finite group G which acts faithfully on a vector space V possesses “many” orbits of different sizes. This has consequences on (classical and modular) character degrees of finite solvable groups.

Milestones
Received: 27 August 1997
Published: 1 February 1999
Authors
Thomas Michael Keller
University of Leicester
Leicester, LE1 7RH
England