1) Cyclic Group
循环群
1.
Analysis to a class of polymorphic mechanism based on theory of cyclic group;
一类基于循环群理论的变形机理分析
2.
On the zero-sum of the cyclic group Z_n;
循环群Z_n中的零和问题
3.
If the model of Wuxing theory is to be expressed by means of mathematical matrix,there will be the possibilities of proving this theory's non-reducibility,observability and controllability by utilizing the methods of Cyclic Group,Orthogonal Matrix,Eigenvalue,Eigenvector and Modern Control Theory.
如果用矩阵表示五行思维模型,那么利用循环群、正交矩阵、特征值、特征向量以及现代控制理论,可以证明它的不可约型、可观测性和可控性,从而在数学上阐明了五行思维模型的科学性和辩证特征。
2) cyclic groups
循环群
1.
Isomorphic representations of cyclic groups and their direct product;
循环群与循环群直积的同构表示
2.
A characterization of non-cyclic groups;
非循环群的一个特征性质
3) cycle group
循环群
1.
This paper proposes a new group signature scheme derived from a proxy signature scheme which can solve the above problems,and the order of cycle group adopted by this scheme is a public parameter,and the length of group public key is fixed.
本文提出一种从代理签名演化而来的新的群签名方案,能够解决这一问题,并且本方案所采用的循环群的阶为一公开参数,群公钥长度固定。
2.
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。
3.
It is prove that groups of order p2 can be divided into two kinds in the isomorphism sense:(1) cycle group;(2)commutative group which can be written as a product of two cycle proper-subgroup of order p.
证明了在同构意义下p2阶群共有两类:一类是循环群,一类是可分解为两个p阶真循环子群乘积的可换群。
4) P-group of cycles
P-循环群
5) cyclic subgroup
循环子群
1.
With respect to conjugacy,the cyclic subgroups of order 6 contained in GL(4,Z) are discussed.
从共轭的角度讨论了GL(4,Z)的 6阶循环子
2.
In this paper,the author describes the results of the number of subgroups in a group of order n,raises the guess that the lower bound of the number of subgroup is T(n),discusses the number of cyclic subgroup and the number of maximal subgroup in a commutative group of order n,studies structure of some groups.
综述了n阶群的子群个数的一些结果,提出子群个数的下界是T(n)的猜想,讨论n阶交换群的循环子群的个数与极大子群的个数,研究了一些群的构造。
3.
We denote by n(G) the number of subgroups of minimum coverings by subgroups of G,and denote by n_c(G) the number of subgroups of minimum coverings by cyclic subgroups of G,and denote by n_a(G) the number of subgroups of minimum coverings by Abelian subgroups of G,then(1)3≤n(G)≤|G|-1,(2)n_c(C_p×…×C_p)m个=pm-1+…+p+1,where m≥2,(3)n_c(C_pr×C_p)=r(p-1)+2,where r≥1,(4)n_a(C_pr×C_ps)=p+1,where r≥s≥1.
设p为素数,G是非循环有限群,群G的最小子群覆盖所包含的子群个数记为n(G),群G的最小循环子群覆盖所包含的子群个数记为nc(G),群G的最小Abel子群覆盖所包含的子群个数记为na(G),则3≤n(G)≤|G|-1,nc(Cp×…×Cp)m个=pm-1+…+p+1(m≥2),nc(Cpr×Cp)=r(p-1)+2(r≥1),na(Cpr×Cps)=p+1(r≥s≥1)。
6) inner-cyclic group
内循环群
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’}.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条