Karel Dekimpe
Almost-Bieberbach Groups: Affine and Polynomial Structures
Paperback Engels 1996 1996e druk 9783540618997
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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
Lezersrecensies
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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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