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

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

ISBN 10: 3540649654 / ISBN 13: 9783540649656

Verlag: Springer, 1998

Beschreibung

Bestandsnummer des Verkäufers I-9783540649656

Bibliografische Details

• Titel: Notes on Infinite Permutation Groups (Lecture Notes in Mathematics, 1698)
• Verlag: Springer
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 3540649654
• ISBN-13: 9783540649656
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.