IMI/Publicaţii/BASM/Ediţii/BASM n.2-3 (18-19), 1995/

Two-dimensional point groups of hypercrystallographic $P$-symmetries and their multidimensional applications. (Russian)

Authors: Zamorzaev A. M.


Using the concept of strong isomorphism of groups and the concept of isomorphism of $P$-symmetries all rosette groups $G_2{}_0^P$ of complete $P$-symmetry are counted for 122 and 624 hyper-crystallographic $P$-symmetries where $P\simeq G_{430}$ and $P\simeq G_{5430}$. It permited to establish that there exist 7979 6-dimensional symmetry groups of category $G_{6520}$ and 73589 7-dimensional groups $G_{76520}$.

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