E-Book, Englisch, Band 1639, 262 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Dekimpe Almost-Bieberbach Groups: Affine and Polynomial Structures
Erscheinungsjahr 2006
ISBN: 978-3-540-49564-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1639, 262 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-49564-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
