Notes on Infinite Permutation Groups: 1698 (Lecture Notes in Mathematics)

by Dugald Macpherson (Author), Dugald Macpherson (Author), Meenaxi Bhattacharjee (Author), Peter M. Neumann (Author), R??gnvaldur G. M??ller (Author)

• New

  Illustrated
  2008

  $53.77

  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.