Karel Dekimpe

Almost-Bieberbach Groups: Affine and Polynomial Structures

• Broschiertes Buch

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

• Lecture Notes in Mathematics 1639
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-61899-7
• 1996.
• Seitenzahl: 272
• Erscheinungstermin: 18. November 1996
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 412g
• ISBN-13: 9783540618997
• ISBN-10: 3540618996
• Artikelnr.: 23403162

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.