TY  - BOOK
AU  - Bhattacharjee,Meenaxi
AU  - Macpherson,Dugald
AU  - Möller,Rögnvaldur G.
AU  - Neumann,Peter M.
ED  - SpringerLink (Online service)
TI  - Notes on Infinite Permutation Groups
T2  - Lecture Notes in Mathematics,
SN  - 9783540498131
AV  - QA174-183 
U1  - 512.2 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Group theory
KW  - Group Theory and Generalizations
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0092550
ER  -