Geodesic
On quasi-permutation representations of finite groups
Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 301-308

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

In [6], Wong defined a quasi-permutation group of degree n to be a finite group G of automorphisms of an n-dimensional complex vector space such that every element of G has non-negative integral trace. The terminology derives from the fact that if G is a finite group of permutations of a set ω of size n, and we think of G as acting on the complex vector space with basis ω, then the trace of an element g ∈ G is equal to the number of points of ω fixed by g. In [6] and [7], Wong studied the extent to which some facts about permutation groups generalize to the quasi-permutation group situation. Here we investigate further the analogy between permutation groups and quasipermutation groups by studying the relation between the minimal degree of a faithful permutation representation of a given finite group G and the minimal degree of a faithful quasi-permutation representation. We shall often prefer to work over the rational field rather than the complex field. 
Burns, J. M.; Goldsmith, B.; Hartley, B.; Sandling, R. On quasi-permutation representations of finite groups. Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 301-308. doi: 10.1017/S0017089500030901
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