Notes on Infinite Permutation Groups: 1698 - Brossura

Neumann, Peter M.; M??ller, R??gnvaldur G.; Bhattacharjee, Meenaxi; Macpherson, Dugald

Brossura

ISBN 10: 3540649654 ISBN 13: 9783540649656

Casa editrice: Springer, 2008

Riassunto

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.

Su questo libro

Contenuti

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.

Product Description

Book by Bhattacharjee Meenaxi Mller Rgnvaldur G Macpherson

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3540649654
• ISBN 13: 9783540649656
• Rilegatura: Copertina flessibile
• Numero di pagine: 220
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania