FINITARY PERMUTATION GROUPS

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Thesis Type: Postgraduate

Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2009

Student: YILDIZ AYDIN

Supervisor: AYNUR ARIKAN

Abstract:

In this thesis work we have studied the paper written by A.O. Asar titled ‘On Finitary Permutation Groups'.In this paper some sufficient conditions are given 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, some sufficient conditions are given 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- (pgroup). Thus we made clear and more detailed and put in more easily understandable in this paper.