初等交换P-群的模糊子群的等价类数

On number of equivalent classes of fuzzy subgroups of primary abel P-group

依据模糊子群等价类的构造特点,通过研究pn阶初等交换群的合成群列和子群列,给出了其极大模糊子群和模糊子群的等价类之个数的求解公式。

In the light of the structure characteristic of equivalent class of fuzzy subgroups of a group, the formulas to find the number of equivalent classes of fuzzy maximal subgroups and fuzzy subgroups of a primary abel P-group is given by means of studying its composition series and subgroup series.