Geodesic
Finite Linear Groups of Degree Seven. I
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1042-1053

Voir la notice de l'article provenant de la source Cambridge University Press

1. 1. This paper is the second in a series of papers discussing linear groups of prime degree, the first being (8). In this paper we discuss only linear groups of degree 7. Thus, G is a finite group with a faithful irreducible complex representation Xof degree 7 which is unimodular and primitive. The character of Xis x- The notation of (8) is used except here p= 7. Thus Pis a 7-Sylow group of G.In §§ 2 and 3 some general theorems about the 3-Sylow group and 5-Sylow group are given. In § 4 the statement of the results when Ghas a non-abelian 7-Sylow group is given. This corresponds to the case |P| =73 or |P|= 74. The proof is given in §§ 5 and 6. In a subsequent paper the results when Pis abelian will be given. 
Wales, David B. Finite Linear Groups of Degree Seven. I. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1042-1053. doi: 10.4153/CJM-1969-115-9
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