| 一类有限群构造的新证明 |
| |
| 引用本文： | 黄本文. 一类有限群构造的新证明[J]. 武汉大学学报(理学版), 2001, 47(1): 29-32 |
| |
| 作者姓名： | 黄本文 |
| |
| 作者单位： | 武汉大学数学科学学院,湖北 武汉 430072 |
| |
| 基金项目： | 湖北省自然科学基金资助项目(99J165) |
| |
| 摘 要： | 利用Fitting子群的特性及子群的扩张原理，证明了一类非交换群的构造即2
|
| 关 键 词： | 扩张；可解群；自同构群；Fitting子群 |
| 文章编号： | 0253-9888(2001)01-0029-04 |
| 修稿时间： | 2000-02-12 |
A Simply Proof for theStructures of A Kind of Non-Abelian Groups |
| |
| HUANG Ben-wen. A Simply Proof for theStructures of A Kind of Non-Abelian Groups[J]. JOurnal of Wuhan University:Natural Science Edition, 2001, 47(1): 29-32 |
| |
| Authors: | HUANG Ben-wen |
| |
| Abstract: | By the characters of Fitting subgroup and extending theorems of subgroup ,the author shows the structure of a kind of nonAbelian groups.That is the structure of a group with order 2~3p(p=3 or 7).The author proves that the proup with order 2~37 has 13 types and the group with order 2~33 has 15 types .The proving method has not been found before and it is very precise.It opens a new road for researching the structure of finite groups. |
| |
| Keywords: | extension solvable groups automorphism group Fitting subgroup |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
