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| 一类可解的（q）－群 | |
| 引用本文： | 张勤海. 一类可解的（q）－群[J]. 数学研究及应用, 1996, 16(4): 479-487 |
| 作者姓名： | 张勤海 |
| 作者单位： | 山西师范大学数学系 |
| 摘 要： | 有限群Ｇ叫（ｑ）－群，如果Ｇ中每个次正规子群均为拟正规子群，群Ｇ叫Ｅｑ－群，若Ｇ中每个子群在Ｇ中拟正规或自正规，有限群Ｇ叫内Ｅｑ－群，如果Ｇ本身不是Ｅｑ－群，但Ｇ的每个真子群是Ｅｑ－群，本文确定了Ｅｑ－群的结构与内Ｅｑ－群的分类． |
| 关 键 词： | 有限群 拟正规子群 子群 可解群 |
| 收稿时间： | 1994-01-03 |
A Class of Solvable (q)-Groups |
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| Zhang Qinhai. A Class of Solvable (q)-Groups[J]. Journal of Mathematical Research with Applications, 1996, 16(4): 479-487 | |
| Authors: | Zhang Qinhai |
| Affiliation: | Dept. of Math., Shanxi Normal Univ., Linfen 041004 |
| Abstract: | A finite group G is called a (q)-group if every subnormal subgroup of G is quasinormal. A finite group G is called an Eq-group if every subgroup of G is either quasinormal or selfnormal. A finite group G is called an inner Eq-groups if G is a non-Eq-group all of whose proper subgroups are Eq-groups. In this paper, the structure of Eq-groups and the classification of inner-Eq-groups are obtained. |
| Keywords: | quasinormal subgroup selfnormal subgroup (q)-group Eq-group inner-Eq-group. |
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