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＜電子ブック＞
Almost-Bieberbach Groups: Affine and Polynomial Structures / by Karel Dekimpe
(Lecture Notes in Mathematics. ISSN:16179692 ; 1639)

版	1st ed. 1996.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1996
大きさ	X, 262 p : online resource
著者標目	*Dekimpe, Karel author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Geometry, Differential FREE:Group Theory and Generalizations FREE:Differential Geometry
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/BFb0094472

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