Relatively Homogeneous Locally Finite Permutation Groups.
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Kenneth Hickin (1987)
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László Babai (1981/82)
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We give some necessary and sufficient conditions for transitive -permutation groups to be -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive -permutation groups to be normal-valued.
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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.
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