Minimal presentation of crystallographic groups by fundamental polyhedra

DOI10.1016/0898-1221(88)90241-6zbMath0696.20044OpenAlexW2114293137MaRDI QIDQ910499

Emil Molnár

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90241-6

zbMATH Keywords

presentationsspace groupsCoxeter subgroupplane reflectionsrod groupsemidirect decomposition

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (1)

Polyhedron complexes with simply transitive group actions and their realizations

Cites Work

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• Konvexe Fundamentalpolyeder und einfach D-V-Zellen für 29 Raumgruppen, die Coxetersche Spiegelungsuntergruppen enthalten
• On Poincaré's theorem for fundamental polygons

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