Group and Ring Theoretic Properties of Polycyclic Groups: 10 (Algebra and Applications) - Hardcover

Wehrfritz, B.A.F.

Hardcover

ISBN 10: 184882940X ISBN 13: 9781848829404

Verlag: Springer, 2009

Inhaltsangabe

Book by Wehrfritz Bertram

Über diesen Titel

Críticas

From the reviews:

“The book under review consists of 10 chapters and is devoted to the systematic study of polycyclic groups from the beginning in the late 1930’s up to now. ... The book is written clearly, with a high scientific level. ... It is quite accessible to research workers not only in the area of group theory, but also in other areas, who find themselves, involved with polycyclic groups. The Bibliography is rich and reflects the development of the theory from very early time up to now.” (Bui Xuan Hai, Zentralblatt MATH, Vol. 1206, 2011)

Reseña del editor

Polycyclic groups are built from cyclic groups in a specific way. They arise in many contexts within group theory itself but also more generally in algebra, for example in the theory of Noetherian rings. The first half of this book develops the standard group theoretic techniques for studying polycyclic groups and the basic properties of these groups. The second half then focuses specifically on the ring theoretic properties of polycyclic groups and their applications, often to purely group theoretic situations.

The book is intended to be a study manual for graduate students and researchers coming into contact with polycyclic groups, where the main lines of the subject can be learned from scratch. Thus it has been kept short and readable with a view that it can be read and worked through from cover to cover. At the end of each topic covered there is a description without proofs, but with full references, of further developments in the area. An extensive bibliography then concludes the book.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2009
• ISBN 10: 184882940X
• ISBN 13: 9781848829404
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 138