Group and Ring Theoretic Properties of Polycyclic Groups - Couverture souple

Livre 10 sur 29: Algebra and Applications

Wehrfritz, B.A.F.

 
9781447125303: Group and Ring Theoretic Properties of Polycyclic Groups

Synopsis

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.

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Autres éditions populaires du même titre

9781848829404: Group and Ring Theoretic Properties of Polycyclic Groups

Edition présentée

ISBN 10 :  184882940X ISBN 13 :  9781848829404
Editeur : Springer London Ltd, 2009
Couverture rigide