周口师范学院学报
週口師範學院學報
주구사범학원학보
Journal of Zhoukou Normal University
2009年
5期
15~17
,共null页
有限群 正规子群 Dedeking群
有限群 正規子群 Dedeking群
유한군 정규자군 Dedeking군
finite group; normal subgroup; dedeking-group;
对仅含n个非平凡正规子群且其他非正规子群皆共轭的非Dedeking群作了定性的分析,得出结论：当n≥2时,这类群可由其非平凡正规子群并成;当n=1时,G是D2p.
對僅含n箇非平凡正規子群且其他非正規子群皆共軛的非Dedeking群作瞭定性的分析,得齣結論：噹n≥2時,這類群可由其非平凡正規子群併成;噹n=1時,G是D2p.
대부함n개비평범정규자군차기타비정규자군개공액적비Dedeking군작료정성적분석,득출결론：당n≥2시,저류군가유기비평범정규자군병성;당n=1시,G시D2p.
This paper gave a qualitative analysis that the non-dedeking group which conjugate with non-normal subgroups and has only n nontrivial normal subgroups.And a conclusion that the group is union of all nontrivial normal subgroups when n≥2 and the group is D2p when n=1 was put forward.
