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1)  Fuzzy cyclic group
Fuzzy循环群
2)  Fuzzy circular matrix
Fuzzy循环矩阵
1.
The problem of power convergence of Fuzzy circular matrix is discussed and several distinguishing theorems are given.
研究了Fuzzy循环矩阵的幂收敛的问题 ,给出了几个判别定
2.
There are broad applicative prospects ofFuzzy circular matrix in many fields of Fuzzy mathematics.
Fuzzy循环矩阵在Fuzzy数学的多个领域具有广泛的应用前景 。
3)  generalized circulant Fuzzy matrix
广义循环Fuzzy矩阵
4)  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。
5)  P-group of cycles
P-循环群
6)  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)。
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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