Notes on Infinite Permutation Groups
Author: Meenaxi Bhattacharjee
Publisher: Springer Science & Business Media
Published: 1998-11-20
Total Pages: 224
ISBN-13: 9783540649656
DOWNLOAD EBOOKThe 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.