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OverviewStarting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced. Full Product DetailsAuthor: Karel DekimpePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1996 ed. Volume: 1639 Dimensions: Width: 21.60cm , Height: 1.40cm , Length: 27.90cm Weight: 0.860kg ISBN: 9783540618997ISBN 10: 3540618996 Pages: 262 Publication Date: 18 November 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreliminaries and notational conventions.- Infra-nilmanifolds and Almost-Bieberbach groups.- Algebraic characterizations of almost-crystallographic groups.- Canonical type representations.- The Cohomology of virtually nilpotent groups.- Infra-nilmanifolds and their topological invariants.- Classification survey.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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