Vol. 34, No. 1, 1970

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ISSN: 0030-8730
Finite linear groups of degree seven. II

David Bertram Wales

Vol. 34 (1970), No. 1, 207–235
Abstract

The determination of finite groups which can be represented as a group of 7 × 7 matrices irreducible over the complex numbers is finished in this paper. To simplify the cases, the matrices are assumed unimodular and the groups are primitive. The groups discussed here are essentially simple and have orders 7 5a 3b 2c. The theory of groups with a prime to the first power in the group order and of course the representation of degree seven are used heavily in the determination.

Mathematical Subject Classification
Primary: 20.80
Milestones
Received: 14 July 1969
Published: 1 July 1970
Authors
David Bertram Wales