Translation normalizers of Euclidean groups. I. Elementary theory

DOI10.1063/1.530173zbMath0786.20034OpenAlexW2157218886MaRDI QIDQ4201721

Vojtech Kopsky

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530173

zbMATH Keywords

normal subgroupssymmetry groupsEuclidean symmetryaffine groupEuclidean motion grouptranslation subgrouppoint group\(n\)-dimensional Euclidean groupsupergroups of Euclidean groupstranslation normalizer

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other geometric groups, including crystallographic groups (20H15)

Related Items (1)

Translation normalizers of Euclidean groups. II. Systematic calculation

Cites Work

• Towards a system in space group representations
• The crystallography of Coxeter groups
• On the equivalence of point configurations due to Euclidean normalizers (Cheshire groups) of space groups
• Comment on the paper of H. Burzlaff and H. Zimmermann “On the choice of origin in the description of space groups”
• Normalizer groups and automorphism groups of symmetry groups

This page was built for publication: Translation normalizers of Euclidean groups. I. Elementary theory