The weak Bieberbach theorem for crystallographic groups on pseudo-Euclidean spaces.

DOI10.1007/S11202-010-0058-8zbMath1202.20050OpenAlexW2060771171MaRDI QIDQ606063

V. A. Churkin

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0058-8

zbMATH Keywords

crystallographic groupspseudo-Euclidean spacestranslation latticesweak Bieberbach theorem

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Discrete subgroups of Lie groups (22E40) Other geometric groups, including crystallographic groups (20H15)

Related Items (1)

Crystallographic groups with two lattices and metric Lie algebras

Cites Work

• Quasicrystallographic groups in the sense of Novikov
• Several new results on quasicrystallographic groups in Novikov's sense
• Crystallographic classes in a 4-dimensional Minkowski space
• Some aspects of the theory of quantum groups
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