Geodesic
Crystallographic classes in a 4-dimensional Minkovskii space
Algebra i logika, Tome 47 (2008) no. 1, pp. 31-53

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On a crystallographic group, a condition of being topologically discrete is imposed which is weaker than is the conventional requirement for an action on space to be discontinuous. Isomorphism classification is given for crystallographic groups in three crystallographic classes in a 4-dimensional Minkovskii space, which are defined by unimodular subgroups of the general Lorentz group. In these classes are, respectively, 24, 36, and 68 crystallographic groups.
Keywords: crystallographic group, Minkovskii space, general Lorentz group. 
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     title = {Crystallographic classes in a~4-dimensional {Minkovskii} space},
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R. M. Garipov. Crystallographic classes in a 4-dimensional Minkovskii space. Algebra i logika, Tome 47 (2008) no. 1, pp. 31-53. http://geodesic.mathdoc.fr/item/AL_2008_47_1_a1/