Displaying similar documents to “On the Order of Doubly Transitive Permutation Groups.”

The structure of transitive ordered permutation groups

Zhu, Zuo-Tong, Huang Zhenyu (1999)

Czechoslovak Mathematical Journal

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We give some necessary and sufficient conditions for transitive l -permutation groups to be 2 -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l -permutation groups to be normal-valued.

Axial permutations of ω²

Paweł Klinga (2016)

Colloquium Mathematicae

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We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.