Permutation Groups - Couverture souple

Dixon, John D. D.; Mortimer, Brian

Couverture souple

ISBN 10 : 1461268850 ISBN 13 : 9781461268857

Editeur : Springer, 2012

Synopsis

The study of permutation groups has always been an integral part of group theory. Permutation groups are important as a tool for solving group theoretic and combinatorial problems, and as a source of significant examples of groups. The reader is assumed to have had a first course in group theory. Numerous examples and exercises make the book suitable both as a course text and for self-study.

A propos du livre

Présentation de l'éditeur

Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 1461268850
• ISBN 13: 9781461268857
• Reliure: Broché
• Nombre de pages: 364
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne