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Lie环的两个幂零准则
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作者 朱婉霞 《湖北大学学报(自然科学版)》 CAS 北大核心 2009年第3期217-221,共5页
证明Lie环的两个幂零准则,即若Lie环L满足(ⅰ)L是可解的;(ⅱ)L/2γ(L)有限生成的;(ⅲ)对任意的x∈L,存在n∈N,使得x是左n-Engel的,则L是幂零的.且若条件(ⅱ)换成(ⅱ)′L满足中心化子上的极小条件,也可得L是幂零的.
关键词 幂零Lie环 n-engel n-engel 中心化子
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On the Product of Two Nilpotent Subgroups of a Finite Group
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作者 海进科 王品超 《Journal of Mathematical Research and Exposition》 CSCD 2000年第3期345-348,共4页
It is known that the product of two nilpotent subgroups of a finite group is not necessarily nilpotent.In this paper, we study the influence of the Engel condition on the product of two nilpotent subgroups. Ou... It is known that the product of two nilpotent subgroups of a finite group is not necessarily nilpotent.In this paper, we study the influence of the Engel condition on the product of two nilpotent subgroups. Our results generalize some well-known results. 展开更多
关键词 n-engel condition nilpotent group p-nilpotent group.
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