Notes on Infinite Permutation Groups

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The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity, symmetric groups and general linear groups, wreatch products, automorphism groups of various treelike objects, model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed), applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.

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