| H-子群及其应用 |
| |
| 引用本文： | 陈华.H-子群及其应用[J].石河子大学学报,2010,28(3):390-392. |
| |
| 作者姓名： | 陈华 |
| |
| 作者单位： | 石河子大学师范学院数学系,石河子,832003 |
| |
| 摘 要： | 借助群的高阶换位群列给出H-子群的概念,讨论了H-子群H(G)的性质,并且得到H(G)是使G商可解的全体正规子群的交等结果。此外,利用H-子群给出群可解或p-可解的一些充分条件。
|
| 关 键 词： | 可解群 p-可解群 H-子群 Frattini子群 p-模子群 |
H-Subgroups and Their Applications |
| |
| CHEN Hua.H-Subgroups and Their Applications[J].Journal of Shihezi University(Natural Science),2010,28(3):390-392. |
| |
| Authors: | CHEN Hua |
| |
| Institution: | CHEN Hua (Department of Mathematics,Teachers College,Shihezi University,Shihezi 832003,China) |
| |
| Abstract: | The concept of H-subgroup is provided by using higher commutator series,and some properties of Hsubgroup are discussed,and it is found that H(G) is the intersection of all the normal subgroups of group G with soluble quotient group.Moreover,by using H-subgroup,some sufficient conditions under which a group is soluble group or p-soluble group are offered. |
| |
| Keywords: | soluble group p-soluble group H-subgroup Fattini subgroups p-module subgroups |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
