Notes on Infinite Permutation Groups

• Main Authors: Bhattacharjee, Meenaxi (Author, http://id.loc.gov/vocabulary/relators/aut), Möller, Rögnvaldur G. (http://id.loc.gov/vocabulary/relators/aut), Macpherson, Dugald (http://id.loc.gov/vocabulary/relators/aut), Neumann, Peter M. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1698
• Subjects: Group theory.; Group Theory and Generalizations.
• Physical Description: XIV, 206 p. online resource.
• ISBN: 9783540498131
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0092550

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.