Notes on infinite permutation groups
Author(s)
Bibliographic Information
Notes on infinite permutation groups
（Lecture notes in mathematics, 1698）
Springer, c1998
Available at / 82 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1698RM981216
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:512.2/B4692070456673
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Note
Includes bibliographical references (p. 181-188) and index
Description and Table of Contents
Description
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.
Table of Contents
Some group theory.- Groups acting on sets.- Transitivity.- Primitivity.- Suborbits and orbitals.- More about symmetric groups.- Linear groups.- Wreath products.- Rational numbers.- Jordan groups.- Examples of Jordan groups.- Relations related to betweenness.- Classification theorems.- Homogeneous structures.- The Hrushovski construction.- Applications and open questions.
by "Nielsen BookData"