用生群元确定电极化率张量空间对称的性可行性

The Possibility of Determing the Symmetry of Susceptibility only with Generators of the Group

本文证明了只用群的生群元求电极化率张量对称性的可行性。认为对于其最大子群为循环群的任一有限群生群元的个数,等于该有限群的阶与最大(循环)子群的阶之此,而且生群元的选取不唯一。结果表明,用生群元确定电极化率张量的对称性简单易行。

In this paper, it is proved theoretically that it is possible to decide the symmetry of susceptibility only with the generators of the group. Also a viewpoint is put forward, to a limited group, if its largest subgroup is a cyclic group, the number of generators equals the ratio of orders of the limited group to one of the largest (cyclic) subgroup. And there is not only one means of selecting generators. The result shows that the method discussed in this paper is simple and easy.