Open Access
2000 Counting crystallographic groups in low dimensions
Wilhelm Plesken, Tilman Schulz
Experiment. Math. 9(3): 407-411 (2000).


We present the results of our computations concerning the space groups of dimension 5 and 6. We find 222 018 and 28 927 922 isomorphism types of these groups, respectively. Some overall statistics on the number of $\funnyQ$-classes and $\funnyZ$-classes in dimensions up to six are provided. The computations were done with the package CARAT, which can parametrize, construct and identify all crystallographic groups up to dimension 6.


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Wilhelm Plesken. Tilman Schulz. "Counting crystallographic groups in low dimensions." Experiment. Math. 9 (3) 407 - 411, 2000.


Published: 2000
First available in Project Euclid: 18 February 2003

zbMATH: 0965.20031
MathSciNet: MR1795312

Primary: 20H15

Rights: Copyright © 2000 A K Peters, Ltd.

Vol.9 • No. 3 • 2000
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