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Karel Dekimpe
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دانلود کتاب Almost-Bieberbach Groups: Affine and Polynomial Structures
by Karel Dekimpe|
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عنوان فارسی: تقریبا از Bieberbach گروه: تکراری و سازه های چند جمله ای |
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جزییات کتاب
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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