A connection between different definitions of quasicrystallographic groups

DOI10.1007/BF01209375zbMath0809.20038MaRDI QIDQ1324932

S. A. Piunikhin

Publication date: 21 July 1994

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

zbMATH Keywords

group extensionsecond cohomology groupEuclidean grouppoint groupcrystallographic space groupFourier representation spacelong exact sequence of cohomology groupsquasicrystallographic group

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)

Cites Work

• Aperiodic tilings with non-symmorphic space groupsp2^jgm
• The two-dimensional quasicrystallographic space groups with rotational symmetries less than 23-fold
• Unnamed Item