The crystallography of Coxeter groups

DOI10.1016/0021-8693(75)90042-3zbMath0312.20029OpenAlexW2020057338MaRDI QIDQ1219956

George Maxwell

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90042-3

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to geometry (51-00)

Related Items (14)

Burckhardtian determination of the space groups. II. ⋮ Reflection groups and polytopes over finite fields. I. ⋮ The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten ⋮ Classification of crystallographic groups associated with Coxeter groups ⋮ Linear groups ⋮ On the crystallography of infinite Coxeter groups ⋮ The crystallography of Coxeter groups. II ⋮ Compact Euclidean space forms ⋮ The Schur multipliers of rotation subgroups of Coxeter groups ⋮ On the automorphism groups of space groups ⋮ Translation normalizers of Euclidean groups. I. Elementary theory ⋮ The triangle groups ⋮ Cohomology of Bieberbach groups ⋮ Some integral representations of complex reflection groups

Cites Work

• The crystallography of Coxeter groups. II
• On integral groups. I: The reducible case. II: The irreducible case
• The maximal finite groups of \(4\times 4\) integral matrices
• Über einen Algorithmus zur Bestimmung der Raumgruppen
• On Integral Groups. III: Normalizer
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