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Almost-Bieberbach Groups: Affine and Polynomial Structures

Language EnglishEnglish
Book Paperback
Book Almost-Bieberbach Groups: Affine and Polynomial Structures Karel Dekimpe
Libristo code: 01566243
Publishers Springer, Berlin, November 1995
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach gr... Full description
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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.

About the book

Full name Almost-Bieberbach Groups: Affine and Polynomial Structures
Author Karel Dekimpe
Language English
Binding Book - Paperback
Date of issue 1996
Number of pages 262
EAN 9783540618997
ISBN 3540618996
Libristo code 01566243
Publishers Springer, Berlin
Weight 412
Dimensions 216 x 279 x 14

Categories

Mathematics & Science > Mathematics > Geometry > Differential & Riemannian geometry
Mathematics & Science > Mathematics > Algebra
Mathematics & Science > Mathematics > Groups & group theory
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