Almost-Bieberbach groups: affine and polynomial structures / Karel Dekimpe

Auteur: Dekimpe, Karel (1967-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1639Langue: anglaisÉditeur: Berlin : Springer, 1996 ISBN: 9783540618997 Note: ... The crystallographic space groups, beside in crystallography, play an important role in mathematics. The aspect considered in this book concerns the so-called Bieberbach groups, which are the torsion free space groups. These groups occur as fundamental groups of flat Riemannian manifolds which, therefore, can be characterized algebraically and fully classified. The point group then appears as the holonomy group. ... (Zentralblatt) Sujets MSC: 20H15 Group theory and generalizations -- Other groups of matrices -- Other geometric groups, including crystallographic groups
82D25 Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Crystals
20F19 Group theory and generalizations -- Special aspects of infinite or finite groups -- Generalizations of solvable and nilpotent groups
57S30 Manifolds and cell complexes -- Topological transformation groups -- Discontinuous groups of transformations
30F10 Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization
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... The crystallographic space groups, beside in crystallography, play an important role in mathematics. The aspect considered in this book concerns the so-called Bieberbach groups, which are the torsion free space groups. These groups occur as fundamental groups of flat Riemannian manifolds which, therefore, can be characterized algebraically and fully classified. The point group then appears as the holonomy group. ... (Zentralblatt)

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