Notes on Infinite Permutation Groups (Lecture Notes in Mathematics (1698))

Bhattacharjee, Meenaxi, Möller, Rögnvaldur G., Macpherson, D

ISBN 10: 3540649654 / ISBN 13: 9783540649656

Published by Springer, 1998

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Seller Inventory # ERICA77335406496546

Bibliographic Details

• Title: Notes on Infinite Permutation Groups (Lecture Notes in Mathematics (1698))
• Publisher: Springer
• Publication Date: 1998
• Language: English
• ISBN 10: 3540649654
• ISBN 13: 9783540649656
• Binding: Paperback
• Condition: Like New
• Book Type: book

About this title

Synopsis

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.