Crystallography and Cohomology of Groups

DOI10.2307/2322930zbMath0607.20028OpenAlexW2334808307WikidataQ56286392 ScholiaQ56286392MaRDI QIDQ3746018

Howard L. Hiller

Publication date: 1986

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/54df64a11661db7196cf479b4b4210539f4f5397

zbMATH Keywords

cohomologytranslationscrystalsspace grouppoint grouparithmetic classesBieberbach theoremsgeometric classes

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (11)

Local symmetry groups for arbitrary wavevectors ⋮ Crystallographic T-duality ⋮ Lattice Identification and Separation: Theory and Algorithm ⋮ On the structure of random graphs with constant \(r\)-balls ⋮ Distinguishing crystallographic groups by their finite quotients ⋮ Classification of 6-dimensional splittable flat solvmanifolds ⋮ Crystallographic Haar wavelets ⋮ Twists on the torus equivariant under the 2-dimensional crystallographic point groups ⋮ Aperiodicity, rotational tiling spaces and topological space groups ⋮ Lieb-Schultz-Mattis theorem and the filling constraint ⋮ Wallpaper patterns admissible in itajime shibori

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