Almost-Bieberbach Groups: Affine and Polynomial Structures

di Karel Dekimpe (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1996

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.

• Autore: Karel Dekimpe
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Lecture Notes in Mathematics
• Anno: 1996
• Rilegatura: Paperback / softback
• Pagine: 262 p.
• Dimensioni: 279 x 216 mm
• EAN: 9783540618997

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