Lecture Notes in Mathematics

Bhattacharjee, Meenaxi; Möller, Rögnvaldur G.; Macpherson, Dugald; Neumann, Peter M.

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.

Details

Published by: Springer

Publication Date: 1998-11-20

Format: Paperback

ISBN-13: 9783540649656

DOI: 10.1007/BFb0092550

Dimensions: 235cm x155cm

Pages: 206