Almost-Bieberbach Groups: Affine and Polynomial Structures

Released on by Karel Dekimpe
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  • Almost-Bieberbach Groups: Affine and Polynomial Structures Book Detail

  • Author : Karel Dekimpe
  • Release Date : 2006-11-14
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 267
  • ISBN 13 : 3540495649
  • File Size : 39,39 MB
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Almost-Bieberbach Groups: Affine and Polynomial Structures by Karel Dekimpe PDF Summary

Book Description: 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.

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