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Almost-Bieberbach Groups: Affine and Polynomial Structures (Lecture Notes in Mathematics) [Repost]
![Almost-Bieberbach Groups: Affine and Polynomial Structures (Lecture Notes in Mathematics) [Repost]](https://pixhost.icu/avaxhome/22/10/00381022.jpeg)
Almost-Bieberbach Groups: Affine and Polynomial Structures (Lecture Notes in Mathematics) by Karel Dekimpe
English | Dec. 5, 1996 | ISBN: 3540618996 | 262 Pages | PDF | 8.31 MB
English | Dec. 5, 1996 | ISBN: 3540618996 | 262 Pages | PDF | 8.31 MB
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.