完全分裂群的若干结果

Several results of completely splitted groups

通过分析完全分裂群的构造,发现其可表示为互异特征单群之直积,且表示法唯一。借助于研究各类特征单群的子群构造特点,求出了完全分裂群的子群个数以及该群分解成单因子直积表写方法的数目,并给出了相应的计算公式。

The analysis of the structure of the completely splitted groups suggests that the completely splitted groups may be expressed as direct product of the different characteristic single group; moreover the method of this portrayal is only. Based on the studies of all kinds of the characteristic single group＇ s subgroup construction, the paper introduces extraction of the subgroup number of the completely splitted groups as well as the number of the expression method of this group decomposed into the single factor direct product, and finally the corresponding formula.