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Название:Almost-Bieberbach Groups: Affine and Polynomial Structures (Lecture Notes in Mathematics)
Автор:Karel Dekimpe
Издательство:Springer
ISBN:3540618996
Дата издания:1996-12-05
Страниц:269
Язык:Английский
Формат:PDF
Размер: 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.
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