Generating Transitive Permutation Groups
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چکیده
منابع مشابه
Abstract Groups as Doubly Transitive Permutation Groups *
Groups as Doubly Transitive Permutation Groups *
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Let G be a transitive permutation group on a set ? and let m be a positive integer. If no element of G moves any subset of ? by more than m points, then |? | [2mp I (p-1)] wherep is the least odd primedividing |G |. When the bound is attained, we show that | ? | = 2 p q ….. q where ? is a non-negative integer with 2 < p, r 1 and q is a prime satisfying p < q < 2p, ? = 0 or 1, I i n....
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