Almost-Bieberbach groups : affine and polynomial structures
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Bibliographic Information
Almost-Bieberbach groups : affine and polynomial structures
（Lecture notes in mathematics, 1639）
Springer, c1996
Available at / 89 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1639RM961116
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Note
Bibliography: p. [251]-255
Includes index
Description and Table of Contents
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.
Table of Contents
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.
by "Nielsen BookData"
