Finitary Permutation Groups

نویسنده

  • Chris Pinnock
چکیده

A finitary permutation group is a natural generalization of a finite permutation group. The structure of a transitive finitary permutation group is surprisingly simple when its degree is infinite. Here we study primitivity, following P. M. Neumann’s work in the 1970s. We also study generalized solubility conditions on these groups. These notes arose from lectures aimed at an audience who had seen some basic permutation group theory, but little abstract group theory.

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تاریخ انتشار 2000