有限乘法群的特殊剖分  

Special Partition of Finite Multiplicative Group

作　　者：宋云胜[1] 张晓琴[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《中北大学学报（自然科学版）》2011年第1期24-25,共2页Journal of North University of China(Natural Science Edition)

基　　金：山西省科学技术发展计划项目(20090322003);山西省高校高新技术产业化项目(20090006)

摘　　要：在群原有的运算和性质的基础上,定义了集合剖分的概念以及集合元素间的相关运算,拓展了有限乘法群的运算规律和性质.在两个子群满足两个特殊限定的条件下,首先对它们进行特殊剖分,然后利用它们对复杂的有限乘法群进行特殊的剖分,最后证明了特殊剖分的合理性.Based on the existing properties and operations of group,the definitions of both partition of group and some operations on the elements between two sets were given.The work expands the operations and properties of finite multiplicative group.Special partition is applied to two subgroups which satisfy two specially given limits.With the result,further special partition is applied to complex finite multiplicative group.These prove the rationality of the proposed special partition.

关 键 词：群 剖分 元素 子集 单位元 

分 类 号：O152.1[理学—数学]