| 关于循环群的一个特征性质 |
| |
| 引用本文： | 左可正.关于循环群的一个特征性质[J].湖北师范学院学报(自然科学版),1997(3). |
| |
| 作者姓名： | 左可正 |
| |
| 作者单位： | 湖北师范学院数学系 |
| |
| 摘 要： | 通过两种方法证明了有限群为循环群的充要条件是该群的每个子群都是特征子群.
|
| 关 键 词： | Hamilton群 特征子群 自同构群 四元数群 |
A CHARACTERISTIC PROPERTY OF FINITE CYCLIC GROUP |
| |
| Zuo Kezheng.A CHARACTERISTIC PROPERTY OF FINITE CYCLIC GROUP[J].Journal of Hubei Normal University(Natural Science),1997(3). |
| |
| Authors: | Zuo Kezheng |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | This paper we prove that finite group G is cyclic group if and only if every sub-group of G is characteristic subgroup. We give that every subgroup of G is characteristic sub-group if and only if every subgroup of is fully-characteristic subroup. |
| |
| Keywords: | Hamilton-group characteristic subgroup automorphism group quaternion group |
| 本文献已被 CNKI 等数据库收录！ |
