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Some geometric characteristics of four-dimensional crystallographic point symmetry groups and their subgroups

โœ Scribed by A. F. Palistrant


Book ID
110124429
Publisher
SP MAIK Nauka/Interperiodica
Year
2000
Tongue
English
Weight
68 KB
Volume
45
Category
Article
ISSN
1063-7745

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Discrete Cocompact Subgroups of the Four
โœ Paul Milnes; Samuel Walters ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

Let G 4 be the unique, connected, simply connected, four-dimensional, nilpotent Lie group. In this paper, the discrete cocompact subgroups H of G 4 are classified and shown to be in 1-1 correspondence with triples p 1 p 2 p 3 โˆˆ 3 that satisfy p 2 p 3 > 0 and a certain restriction on p 1 . The K-grou