具有极大循环子群的P-群的模糊子群构造  

Structure and construction of fuzzy subgroups of p-groups with maximal cyclic subgroups

作　　者：宋明娟[1] 张秋杰[1] 周述武 

机构地区：[1]黑龙江科技大学理学院,哈尔滨150022

出　　处：《模糊系统与数学》2017年第4期28-33,共6页Fuzzy Systems and Mathematics

基　　金：河南省高等学校重点科研项目(16A110028;16A130004);黑龙江省教育自然科学项目(12531590)

摘　　要：依据模糊子群与子群列之间的关系,通过分析具有极大循环子群的P-群的子群列的构造特点,给出了能够反映具有极大循环子群的P-群的模糊子群构造特征的模糊子群的阶、极大模糊子群和模糊子群的等价类数的计算公式.According to the relation between the fuzzy subgroup and the Subgroup chain of a group, the structural characteristics of the subgroup chain of the p-group with maximal cyclic subgroup are analyzed, obtain the formulas to find the number of order and equivalent classes of maximal fuzzy subgroups and fuzzy subgroups of a p-group with maximal cyclic subgroups.

关 键 词：具有极大循环子群的P-群 等价关系 极大模糊子群 模糊子群 

分 类 号：O159[理学—数学]