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Finite Linear Groups of Prime Degree

Published online by Cambridge University Press:  20 November 2018

David B. Wales
David B. Wales*
Affiliation:
California Institute of Technology, Pasadena, California
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If G is a finite group which has a faithful complex representation of degree nit is said to be a linear group of degree n. It is convenient to consider only unimodular irreducible representations. For n ≦ 4 these groups have been known for a long time. An account may be found in Blichfeldt's book (1). For n= 5 they were determined by Brauer in (4). In (4), many properties of linear groups of prime degree pwere determined for pa prime greater than or equal to 5.

In a forthcoming series of papers these results will be extended and the linear groups of degree 7 determined. In the first paper, some general results on linear groups of degree p, p≧ 7, will be given. These results will later be applied to the prime p = 7.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 21 , 1969 , pp. 1025 - 1041
Copyright
Copyright © Canadian Mathematical Society 1969

References

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