Almost-Bieberbach Groups: Affine and Polynomial Structures (Paperback, 1996 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1639
Release date:	2001
First published:	1996
Authors:	Karel Dekimpe
Dimensions:	279 x 216 x 14mm (L x W x T)
Format:	Paperback
Pages:	262
Edition:	1996 ed.
ISBN-13:	978-3-540-61899-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-540-61899-6
Barcode:	9783540618997

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