Abstract

Computer minimization of generating subsets (subsets of generators) of cubic Fedorov groups listed in the International Tables for Crystallography has been performed. The structure and fuzziness of the obtained minimal subsets are discussed. It is established that the allowable number of elements for almost half the minimized subsets is not the least one, which suggests that the generating subsets of Fedorov groups in the International Tables for Crystallography should be improved.

中文翻译：

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三次Fedorov组的最小生成集

摘要

已经执行了计算机最小化国际晶体学表中列出的立方Fedorov基团的生成子集（生成器的子集）。讨论了获得的最小子集的结构和模糊性。可以确定的是，几乎一半的最小化子集所允许的元素数量并非最少，这表明国际晶体学表中Fedorov基团的生成子集应得到改善。