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- W73665216 abstract "In this paper, we study finite transitive permutation groups in which only the identity fixes as many as three letters, and in which the subgroup fixing a letter is self normalizing. If G is such a group, the principal results concern the case when G is simple.In this case, H, the subgroup fixing a letter, is a Frobenius group, MQ, with kernel M and complement Q. If |H| is even we show that either G is doubly transitive or permutation isomorphic to the representation of A[subscript 5] on ten letters.If |H| is odd we prove that Q is cyclic, M is a p-group, and G has a single class of involutions. Furthermore, the number of groups for which H has a given positive number of regular orbits is finite." @default.
- W73665216 created "2016-06-24" @default.
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- W73665216 date "1965-01-01" @default.
- W73665216 modified "2023-09-27" @default.
- W73665216 title "Groups with only the identity fixing three letters" @default.
- W73665216 doi "https://doi.org/10.7907/gvhg-ec49." @default.
- W73665216 hasPublicationYear "1965" @default.
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