A counter example for nilpotent groups
佚名
【期刊名称】《中国科学》 【年(卷),期】2010(000)011
【摘要】Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that In = 0), and I be generated by {xj |j ∈ J} as ring. Write U = 1 + I, and it is a nilpotent group with class ≤ n - 1. Let G be the subgroup of U which is generated by {1 + xj|j ∈ J}. The group constructed in this paper indicates that the nilpotency class of G can be less than that of U.
【总页数】8页(P.3041-3048)
【关键词】nilpotency;class;nilpotent;group;nilpotent;ring;Lie;ring 【作者】佚名 【作者单位】; 【正文语种】英文 【中图分类】N 【相关文献】
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A counter example for nilpotent groups
