Crystallographic Groups and Their Generalizations

By: Paul Igodt (Editor), Herbert Abels (Editor), Yves Felix (Editor), Fritz Grunewald (Editor)

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This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.

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Non-Fiction Science Chemistry Crystallography Mathematics Groups & Group Theory Topology

Preface	p. ix
List of participants	p. xi
Titles of talks and posters	p. xiv
Tores affines	p. 1
On structures preserved by idempotent transformations of groups and homotopy types	p. 39
Affine Schottky groups and crooked tilings	p. 69
Polynomial structures on polycyclic groups: Recent developments	p. 99
Problems on the geometry of finitely generated solvable groups	p. 121
Flat Lorentz 3-manifolds and cocompact Fuchsian groups	p. 135
Varieties of discontinuous groups	p. 147
Affine cohomology classes for filiform Lie algebras	p. 159
Hyperbolic automorphisms for groups in T (4, 2)	p. 171
Varietes projectives a holonomie dans le groupe Aff[superscript +] (R)	p. 177
Classification of homogeneous complex affinely flat surfaces with compact quotients and applications to complex projective structures	p. 195
On the fundamental groups of compact complete quaternionic affinely flat 2-manifolds	p. 225
An obstruction to the existence of Anosov diffeomorphisms on infra-nilmanifolds	p. 233
Genus and localization of virtually nilpotent groups	p. 253
Immeubles affines: construction par les normes et etude des isometries	p. 263
Isoclinic spheres and flat homogeneous pseudo-Riemannian manifolds	p. 303
Table of Contents provided by Syndetics. All Rights Reserved.

Crystallographic Groups and Their Generalizations

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