Bálint Birszki
Abstract
Sharp permutation groups are a generalization of sharply k -transitive permutation groups. In this article we show that, apart from sharply k -transitive groups, there are only a few primitive permutation groups which are sharp. In addition, we give a classification of solvable primitive sharp permutation groups.
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Sharp permutation groups are a generalization of sharply k -transitive permutation groups. In this article we show that, apart from sharply k -transitive groups, there are only a few primitive permutation groups which are sharp. In addition, we give a classification of solvable primitive sharp permutation groups.
Key concepts: Cyclic permutation, Mathematics, Permutation group, Primitive permutation group, Permutation (music), Transitive relation, Combinatorics, Generalization