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2001 Computation of Five- and Six-Dimensional Bieberbach Groups
Carlos Cid, Tilman Schulz
Experiment. Math. 10(1): 109-115 (2001).

Abstract

This paper deals with the computation and classification of 5- and 6-dimensional torsion-free crystallographic groups, known as Bieberbach groups. We describe the basis of an algorithm that decides torsion-freeness of a crystallographic group as well as the triviality of its centre. The computations were done using the computer package CARAT, which handles enumeration, construction, recognition and comparison problems for crystallographic groups up to dimension 6. The complete list of isomorphism types of Bieberbach groups up to dimension 6 can be found online.

Citation

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Carlos Cid. Tilman Schulz. "Computation of Five- and Six-Dimensional Bieberbach Groups." Experiment. Math. 10 (1) 109 - 115, 2001.

Information

Published: 2001
First available in Project Euclid: 30 August 2001

zbMATH: 0980.20043
MathSciNet: MR1 822 856

Subjects:
Primary: 20H15

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 1 • 2001
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