Almost-Bieberbach Groups: Affine and Polynomial Structures (Lecture Notes in Mathematics)

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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.