Notes on infinite permutation groups
By: M. Bhattacharjee ... [et al.].
Contributors: Bhattacharjee, M. 1965-
Series: Lecture notes in mathematics,; 1698; Lecture notes in mathematics (Springer-Verlag) ;; 1698.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 202
Subjects: Permutation groups
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.
Notes: Includes bibliographical references (p. 181-188) and index.