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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Detalhes bibliográficos
Autor principal: Dekimpe, Karel, 1967-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colecção:Lecture notes in mathematics 1639
Assuntos:
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Nota: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Almost-Bieberbach groups, affine and polynomial structures, Karel Dekimpe, 1996, Berlin, Springer, 1 volume (X-259 pages), Lecture notes in mathematics, 3-540-61899-6
• Almost-Bieberbach Groups: Affine and Polynomial Structures, Texte imprimé, 9783662161500
Sumário:
  • 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.