Karel Dekimpe

Almost-Bieberbach Groups: Affine and Polynomial Structures (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 262
• Erscheinungstermin: 14. November 2006
• Englisch
• ISBN-13: 9783540495642
• Artikelnr.: 53126342

Inhaltsangabe

Preliminaries and notational conventions.- Infra-nilmanifolds and Almost-Bieberbach groups.- Algebraic characterizations of almost-crystallographic groups.- Canonical type representations.- The Cohomology of virtually nilpotent groups.- Infra-nilmanifolds and their topological invariants.- Classification survey.