Code: 01566243

Almost-Bieberbach Groups: Affine and Polynomial Structures

Name: Almost-Bieberbach Groups: Affine and Polynomial Structures
Brand: Springer, Berlin
SKU: 01566243
Price: 46.46 EUR
Availability: InStock
Author: Karel Dekimpe
ISBN: 9783540618997

by Karel Dekimpe

Language: English
Binding: Paperback
Number of pages: 262
Publisher: Springer, Berlin, 1996
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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.