Notes on Infinite Permutation Groups

• Main Authors: Bhattacharjee, Meenaxi (Author, http://id.loc.gov/vocabulary/relators/aut), Möller, Rögnvaldur G. (http://id.loc.gov/vocabulary/relators/aut), Macpherson, Dugald (http://id.loc.gov/vocabulary/relators/aut), Neumann, Peter M. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1698
• Subjects: Group theory.; Group Theory and Generalizations.

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 followin...

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.