Almost-Bieberbach Groups: Affine and Polynomial Structures

Name: Almost-Bieberbach Groups: Affine and Polynomial Structures
Author: Karel Dekimpe

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Paperback, 262 blz. | Engels

Springer Berlin Heidelberg | 1996e druk, 1996

ISBN13: 9783540618997

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Springer Berlin Heidelberg 1996e druk, 1996 9783540618997

Onderdeel van serie Lecture Notes in Mathematics

54,94

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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.

Specificaties

ISBN13:9783540618997

Taal:Engels

Bindwijze:paperback

Aantal pagina's:262

Uitgever:Springer Berlin Heidelberg

Druk:1996

Serie:Lecture Notes in Mathematics

Inhoudsopgave

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.

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