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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.
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Previews available in: English
Edition | Availability |
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1
Notes on Infinite Permutation Groups
2006, Springer London, Limited
in English
3540498133 9783540498131
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2 |
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3
Notes on Infinite Permutation Groups
1997, Hindustan Book Agency
in English
8185931135 9788185931135
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Edition Notes
Includes bibliographical references (p. 181-188) and index.
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