Classification of crystallographic groups associated with Coxeter groups

DOI10.1016/0021-8693(92)90056-RzbMath0795.20030MaRDI QIDQ1185950

Dominique Martinais

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Weyl groupsgroup extensionspoint groupscohomology groupirreducible root systemspace groupscrystallographic Coxeter groupslattice group of translations

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homological methods in group theory (20J05) Other geometric groups, including crystallographic groups (20H15)

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On the material symmetry group of elastic crystals and the Born rule ⋮ Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions

Cites Work

• The crystallography of Coxeter groups
• The crystallography of Coxeter groups. II
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