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- W2000262641 abstract "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." @default.
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- W2000262641 date "1994-09-01" @default.
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- W2000262641 title "On quasi-permutation representations of finite groups" @default.
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- W2000262641 doi "https://doi.org/10.1017/s0017089500030901" @default.
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