1.

Record Nr.

UNINA9910817172603321

Titolo

Crystallographic groups and their generalizations : workshop, Katholieke Universiteit Leuven Campus Kortrijk, Belgium, May 26-28, 1999 / / Paul Igodt [and three others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2000]

©2000

ISBN

0-8218-7852-2

0-8218-5598-0

Descrizione fisica

1 online resource (330 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 262

Disciplina

548/.7

Soggetti

Crystallography, Mathematical

Group theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Preface""; ""List of participants""; ""Titles of talks and posters""; ""Tores affines""; ""On structures preserved by idempotent transformations of groups and homotopy types""; ""Affine Schottky groups and crooked tilings""; ""1. Minkowski space""; ""1.1. Minkowski space and its projectivization""; ""1.2. A little Euclidean geometry""; ""1.3. Null frames""; ""2. Schottky groups""; ""2.1. Schottky's configuration""; ""2.2. Existence of a small interval""; ""2.3. A criterion for Ñ?-hyperbolicity""; ""3. Crooked planes and zigzags""

""3.1. Extending Schottky groups to Minkowski space""""3.2. Construction of a crooked plane""; ""3.3. Zigzags""; ""3.4. Affine deformations""; ""4. Completeness""; ""4.1. Construction of the nested sequence""; ""4.2. Uniform Euclidean width of crooked polyhedra""; ""4.3. Approximating zigzag regions by half-planes""; ""4.4. Bounding the separation of half-planes""; ""4.6. Changing the hyperbolicity""; ""Polynomial structures on polycyclic groups: Recent developments""; ""Problems on the geometry of finitely generated solvable groups""; ""1. Introduction""; ""2. Dioubina's examples""