Notes on Infinite Permutation Groups

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.

• | Author: Meenaxi Bhattacharjee
• | Publisher: Springer
• | Publication Date: Nov 20, 1998
• | Number of Pages: 206 pages
• | Binding: Paperback or Softback
• | ISBN-10: 3540649654
• | ISBN-13: 9783540649656