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Almost-Bieberbach Groups: Affine and Polynomial Structures
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Almost-Bieberbach Groups: Affine and Polynomial Structures (Paperback)

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Synopsis

Starting 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.

Science & MathematicsMathematicsGeometryDifferential & Riemannian geometryScience & MathematicsMathematicsGroups & group theory Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 18/11/1996 ISBN-13: 9783540618997  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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