置换性很好的一类群  

Some groups with a good permutability of subgroups

作　　者：钟艳林[1] 曾吉文[2] 

机构地区：[1]闽南理工学院信息管理系,福建泉州362700 [2]厦门大学数学科学院,福建厦门361005

出　　处：《纯粹数学与应用数学》2014年第5期491-495,共5页Pure and Applied Mathematics

基　　金：福建省中青年教师教育科研项目(JB14108);福建省自然科学基金(2012J01022)

摘　　要：主要研究子群置换性质对有限群结构的影响.通过子群的置换性得到一类群,即B群.B群是全可置换群的扩展,利用全可置换群的p次中心扩张和子群的阶得到B群的一些性质并对B群的结构进行一些刻画.应用B群的结构得到有限p(p>2)群为二元生成的B群的充要条件.The paper studies the influence of subgroups replacement properties on the structure of finite groups. A finite group is derived from the subgroup replacement properties, which is called B group. B groups is the extension of full permutation groups, the power of p center expansion of full permutation groups and Subgroups order use to get some properties of B groups and descriptions about the structure of B groups. By using the structure of B group, we get the necessary and sufficient conditions of a finite p （p〉 2） group being a binary generating B group.

关 键 词：有限群 B 群 有限P群 

分 类 号：O152[理学—数学]