Notes on Infinite Permutation Groups

von Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson, Peter M. Neumann

206 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540649656
• Sprache: Englisch
• Erscheinungsdatum: 20.11.1998
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin