LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Group and Ring Theoretic Properties of Polycyclic Groups ([Ebook]) / by B.A.F. Wehrfritz.
Author	Wehrfritz, Bertram A. F.
Other name(s)	SpringerLink (Online service)
Publication	London : Springer , 2009.
Physical Details	vii,128 pages : online resource.
Series	Algebra and Applications ; 10
ISBN	9781848829411
Summary Note	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. They also touch on some aspects of topology, geometry and number theory. 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 not intended to be encyclopedic. Instead, it is 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 by any reader who has been exposed to some undergraduate algebra, especially groups, rings and vector spaces. Thus the book 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. The book then concludes with an extensive bibliography of items relating to polycyclic groups.:
Contents note	Foreword -- Some basic group theory -- Some ring theory -- Soluble linear groups -- Further group-theoretic properties of polycyclic groups -- Groups acting on finitely generated commutative rings -- Prime ideals in polycyclic-group rings -- The structure of modules over polycyclic groups -- Semilinear and skew linear groups.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-84882-941-1
Links to Related Works	Subject References: Algebra . Associative Rings and Algebras . Commutative Rings and Algebras . Graph Theory . Group theory . Group Theory and Generalizations . Polycyclic groups . Rings (Algebra) . Authors: Wehrfritz, Bertram A. F. . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.2 . 512.2 (DDC 22) .

Catalogue Display

Group and Ring Theoretic Properties of Polycyclic Groups

Reviews