2012

On Finitary Permutation Groups

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 - (p-group).

Anahtar Kelimeler:

Finitary permutation, primitive, almost primitive, totally imprimitive

On Finitary Permutation Groups

Keywords:

Finitary permutation, primitive, almost primitive, totally imprimitive,

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Gazi University, Gazi Education Faculty Teknikokullar, Ankara-TURKEY e-mail: aliasar@gazi.edu.tr