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Group and Ring Theoretic Properties of Polycyclic Groups

Group and Ring Theoretic Properties of Polycyclic Groups
Catalogue Information
Nome campo dettagli
Dewey Class 512.2
Titolo Group and Ring Theoretic Properties of Polycyclic Groups ([Ebook]) / by B.A.F. Wehrfritz.
Autore Wehrfritz, Bertram A. F.
Other name(s) SpringerLink (Online service)
Pubblicazione London : Springer , 2009.
Physical Details vii,128 pages : online resource.
Serie 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
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Algebra .
  • Associative Rings and Algebras .
  • Commutative Rings and Algebras .
  • Graph Theory .
  • Group theory .
  • Group Theory and Generalizations .
  • Polycyclic groups .
  • Rings (Algebra) .

  • Authors:
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    Catalogue Information 27541 Beginning of record . Catalogue Information 27541 Top of page .

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