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Almost-Bieberbach Groups: Affine and Polynomial Structures

by Karel Dekimpe
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Current price ₹7,203.00
Original price ₹8,644.00
Original price ₹8,644.00
Original price ₹8,644.00
(-17%)
₹7,203.00
Current price ₹7,203.00

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Book cover type: Paperback
  • ISBN13: 9783540618997
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 262
  • Original Price: USD 69.95
  • Language: English
  • Edition: 1996
  • Item Weight: 391 grams
  • BISAC Subject(s): Algebra / Linear

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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