Methods to determine generators and defining relations for an n-dimensional point group

DOI10.1063/1.529685zbMath0771.20018OpenAlexW2032460311MaRDI QIDQ4019988

Frank Wijnands, Ad Thiers

Publication date: 16 January 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529685

zbMATH Keywords

relationsalgorithmscrystallographic symmetriesgeneratorsderived seriescoset decomposition

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15) Software, source code, etc. for problems pertaining to group theory (20-04)

Cites Work

• Determination of \(n\)-dimensional space groups by means of an electronic computer
• Crystallographic groups in space and time

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