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1)  a cyclic group with order n
n阶循环群
1.
This paper discusses the relation beween order classification and isomorphic classification, gives some important characteristic properties of a cyclic group with order n and a important property of a p-group with finite order, introduces two factorization method of direct product for commutative p-group with finite order, presents some new problems.
讨论了阶分类与同构分类的关系,给出了n阶循环群的几个重要的特征性质和有限p-群的一个重要性质,介绍了有限交换p-群直积分解的两种方法,提出了一些新的问题。
2)  group of n cycles
n循环群
3)  finite cyclic group ordered pr
pr阶循环群
1.
The maximal Z-order Γ of the integral group ring ZG of the finite cyclic group ordered pr in QG has been discussed and a concrete expression formula of Γ has been produced.
对pr阶循环群讨论了它们的整群环ZG在QG中的极大的Z-序Γ,给出了Γ的具体表达式。
4)  cyclic group of order 2 p
2p阶循环群
5)  R-grade cycle matrix
n阶R循环矩阵
1.
The idea making use of producing matrix on the cycle group,this paper has discussed the property about R-grade cycle matrix and the question about R-grade cycle matrix diagonalization,brought to light the relations between one type diagonalization similar matrix and R-grade cycle matrix.
本文利用循环群上生成矩阵的方法,讨论n阶R循环矩阵的性质与对角化的问题,揭示一类可对角化相似矩阵与R循环矩阵的关系。
6)  n step cyclic matrix
n阶循环矩阵
1.
A discussion on the constitution of an Abel group by the collection of n step cyclic matrix
关于n阶循环矩阵成Abel群的讨论
补充资料:循环群


循环群
cydic group

循环群【。‘cg找.p;四一肋.,ec鱿a.rpyuoa] 具有单个生成元的群.所有循环群都是月比1群.每个素数阶的有限群是循环群.对每个有限数n在同构意义下有且仅有一个n阶循环群;存在无限循环群,它同构于整数加法群Z.n阶有限循环群G同构于模。剩余类环Z(n)的加法群(也同构于(复)叮次单位根的群C伪)).每个。阶元a皆可作为这个群的生成元.于是 G“{l=aU=an,a,…,a”一’}.
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