Minimal presentation of crystallographic groups by fundamental polyhedra (Q910499)
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scientific article; zbMATH DE number 4140048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal presentation of crystallographic groups by fundamental polyhedra |
scientific article; zbMATH DE number 4140048 |
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Minimal presentation of crystallographic groups by fundamental polyhedra (English)
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1988
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The author gives presentations of those 38 space groups G which have a semidirect decomposition \(G=G_ 1\circ C_ 2\), where \(C_ 2\) is an invariant Coxeter subgroup generated by plane reflections and \(G_ 1\) is a so-called rod group leaving the fundamental domain of \(C_ 2\) and a straight line invariant. The main part of this paper consists of a table of diagrams containing the information on the presentations.
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presentations
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space groups
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semidirect decomposition
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Coxeter subgroup
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plane reflections
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rod group
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