Notes on Infinite Permutation Groups
Overview
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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Details
- ISBN-13: 9783540649656
- ISBN-10: 3540649654
- Publisher: Springer
- Publish Date: November 1998
- Dimensions: 9.21 x 6.14 x 0.46 inches
- Shipping Weight: 0.69 pounds
- Page Count: 206
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