On Finitary Permutation Groups

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Turkish Journal of Mathematics
Volume:30 Issue:1
On Finitary Permutation Groups

On Finitary Permutation Groups

Authors : Ali Osman ASAR

Pages : 101-116

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. Also, we give some sufficient conditions for the existence of a proper subgroup having an infinite orbit in a totally imprimitive p-group of finitary permutations. These results, with the help of some known results, give sufficient conditions for the nonexistence of a perfect locally finite minimal non FC - insert ignore into journalissuearticles values(p-group);.
Keywords : Finitary permutation, primitive, almost primitive, totally imprimitive

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