| 关于SY群的一个定理 |
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| 引用本文： | 张成业,张勤海.关于SY群的一个定理[J].曲阜师范大学学报,1991,17(4):18-20. |
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| 作者姓名： | 张成业 张勤海 |
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| 作者单位： | 山西师范大学，山西师范大学 |
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| 摘 要： | 本文利用群的幂零剩余给出 SY 群的一个充要条件,曲此得出 SY 群与广幂零群,有限可解(s—q)群是等价的.
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| 关 键 词： | SY群 广幂零群 有限可解 （s－q）群 |
On a Theorem of SY-Group |
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| Zhang Chengye Zhang Qinhai.On a Theorem of SY-Group[J].Journal of Qufu Normal University(Natural Science),1991,17(4):18-20. |
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| Authors: | Zhang Chengye Zhang Qinhai |
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| Institution: | Shanxi Normal University |
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| Abstract: | In this paper,a sufficient and necessary condition for a group to be a SY-group is proved by means of the property of the nilpotent residual of G.Theresult follows:G is SY-group iff G contains a odd order Abelian normal Hall subgroupN such that.i)G/N is nilpotent;ii)every subgroup in N is a normal subgroup of G. |
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| Keywords: | SY-group generalized nilpotent group finitely solveable(s-q)group the nilpotent residual |
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