Almost-Bieberbach Groups: Affine and Polynomial Structures

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 g...

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Bibliographic Details
Main Author: Dekimpe, Karel
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1996, 1996
Edition:1st ed. 1996
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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