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Notes on Infinite Permutation Groups
Meenaxi Bhattacharjee
Dugald Macpherson
Rögnvaldur G. Möller
Peter M. Neumann
出版
Springer Science & Business Media
, 1998-11-20
主題
Mathematics / Algebra / General
Mathematics / Algebra / Abstract
Mathematics / Group Theory
Mathematics / Combinatorics
Medical / General
ISBN
3540649654
9783540649656
URL
http://books.google.com.hk/books?id=lKsEawMzEOQC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.