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| 关于可分群的若干结果 | |
| 引用本文： | 赵艳萍 马合成. 关于可分群的若干结果[J]. 山东师范大学学报(自然科学版), 1991, 6(4): 17-20,44 |
| 作者姓名： | 赵艳萍 马合成 |
| 作者单位： | 青岛大学，山东师范大学 |
| 摘 要： | 两个正规可解子群的乘积可解,但两个(超)可解子群(幂零子群)的乘积不一定是(超)可解(幂零)的。本文引入半正规与S—半正规的概念。讨论了两个(超)可解(幂零)子群的乘积的(超)可解(幂零)性。本文提到的群均为有限群。 |
| 关 键 词： | 可解群 超可解群 可分群 幂零群 |
SOME RESULTS ON FACTORIZABLE GROUPS |
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| Zhao Yanping,Ma Hecheng Qingdao University Shandong Normal University. SOME RESULTS ON FACTORIZABLE GROUPS[J]. Journal of Shandong Normal University(Natural Science), 1991, 6(4): 17-20,44 | |
| Authors: | Zhao Yanping Ma Hecheng Qingdao University Shandong Normal University |
| Affiliation: | Zhao Yanping;Ma Hecheng Qingdao University Shandong Normal University |
| Abstract: | The product of two normal solvable subgroups is solvable, but the product of two (supersolvable) solvable (nilpotent) subgroups is not necessarily (supersolvable)solvable(nilpotent). In this paper, we introduce the definition about the problem men-tioned above, and obtain some new results on factorizable groups. The groups in the pa-per are finite throughout. |
| Keywords: | solvable group factorizable group supersolvable group nilpotent group Sylow tower group |
| 本文献已被 CNKI 维普 等数据库收录！ | |