Notes on Infinite Permutation Groups
Author | : Meenaxi Bhattacharjee |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 1998-11-20 |
ISBN-10 | : 3540649654 |
ISBN-13 | : 9783540649656 |
Rating | : 4/5 (656 Downloads) |
Download or read book Notes on Infinite Permutation Groups written by Meenaxi Bhattacharjee and published by Springer Science & Business Media. This book was released on 1998-11-20 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.