Almost-Bieberbach Groups: Affine and Polynomial Structures

von Karel Dekimpe

262 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540618997
• Sprache: Englisch
• Erscheinungsdatum: 18.11.1996
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin