Skip to main content
SpringerLink
Log in
Book cover

Almost-Bieberbach Groups: Affine and Polynomial Structures

  • Book
  • © 1996

Overview

Authors:
  1. Karel Dekimpe
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1639)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Preliminaries and notational conventions

    • Karel Dekimpe
    Pages 1-11

  3. Infra-nilmanifolds and Almost-Bieberbach groups

    • Karel Dekimpe
    Pages 13-30

  4. Algebraic characterizations of almost-crystallographic groups

    • Karel Dekimpe
    Pages 31-46

  5. Canonical type representations

    • Karel Dekimpe
    Pages 47-102

  6. The Cohomology of virtually nilpotent groups

    • Karel Dekimpe
    Pages 103-120

  7. Infra-nilmanifolds and their topological invariants

    • Karel Dekimpe
    Pages 121-157

  8. Classification survey

    • Karel Dekimpe
    Pages 159-230

  9. Back Matter

    Pages 231-259
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Almost-Bieberbach Groups: Affine and Polynomial Structures

  • Authors: Karel Dekimpe

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094472

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61899-7Published: 18 November 1996

  • eBook ISBN: 978-3-540-49564-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 262

  • Topics: Group Theory and Generalizations, Differential Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation