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- ThePurpose of this note is to get a characteristic of finite Abelian group. 文章研究了具有某种性质的自同构的有限群,得出了这种群为Abelian群的一个充要条件。
- The critical group of a connected graph is a finite abelian group whose structure is a subtle isomorphism invariant of the graph. 图的临界群是图生成树数目的一个加细.;它是定义在图上的一个有限交换群;其群结构是图的一个精细不变量;与图的Laplacian理论密切相关
- In this paper, We have proved finite Abelian group G has 147 types when| A ( G ) | = 25pq, here p, q are different odd primes. 本文利用有限Abel群G的自同构群A(G)的阶来确定群G的构造,证明了当|A(G)|=2~5pq时,G最多有147种类型。
- Let G be a finite Abelian group,an ideal in the groupring Z_(p~r)[G] is called an Abelian code over Z_(p~r), where Z_(p~r) is the ring of integers modulo p~r. 设G为有限阿贝尔群; 群环Zp[G]中的理想称为Zpr 上的阿贝尔码; 其中Zpr 为模pr 剩余类环.
- The integral group rings of finite abelian groups are of great importance in algebraic k-theory. 有限交换群的整群环是一类非常重要的环,计算它的相对K_1群在代数K-理论中具有重要的意义。
- This paper defines an operation on the rational points of conic curves C_n(a,b) over the residue class ring Z_n. This operation is called addtion forces C_n(a,b) into a finite abelian group. 通过对Zn上圆锥曲线Cn(a;b)定义加法运算;证明了Zn上的圆锥曲线Cn(a;b)在所定义的加法运算下构成一个有限交换群.
- This paper has proposed a threshold signature scheme, which is a combination of digital signature scheme and secret sharing scheme over finite abelian group, based on Rabin cryptosystem. Also the efficiency and security of the scheme are discussed. 本文结合数字签名方案与有限阿贝尔群上的秘密分享方案,提出了一种基于Rabin密码体制的门限签名方案并对该方案的有效性和安全性进行了分析。
- Generalizing a single involutive automorphism to a finite Abelian group of automorphisms of G, we obtain a homogeneous space called generalized symmetric space and some of its properties. 本文把李群的单个对合自同构推广为由李群 G 的一些自同构组成的有限可换群,从而决定了一个广义对称空间,并讨论了它的某些性质。
- Since a finite abelian group is the direct product of some finite cyclic groups, it is obtained that any Hopf quiver is the direct product of some directed cycles. 利用有限交换群可以表示成某些有限循环群的直积这一性质,得出了有限交换群的任意Hopf箭图都是某些有向圈的直积。
- This paper disscusses the types of finite Abelian groups G with |A(G)|=2p~n, 2~2p~n, 2~3p~n. 本文是[1]、[2]的继续,利用群G的自同构群A(G)来刻划群G的构造,给出了|A(G)|=2p~n,2~2p~n,2~3p~n的有限Abel群G的全部类型。
- In Chapter Two, the author extends the relationship r(G) = |G| + D(G) - 1 in finite abelian groups to some type of finite non-abelian groups. 其中,在第二章中,作者将对于有限Abel群G成立的关系式r(G)=|G|+D(G)-1推广到一类非交换群上。
- A zero-sumproblem in finite abelian group 有限阿贝尔群中的零和问题
- (Lemma 2) Let G be a finite Abelian group. (引理2) 设G是有限交换群,S(?)
- A Finite Abelian Group And Z/(n)-module 有限Abel群和Z/(n)-模
- finitely Abelian group 有限交换群
- The order of the automorphism group of finite abelian group 有限交换群的自同构群的阶
- STRUCTURE OF A CLASS OF FINITE ABELIAN GROUPS G 一类有限Abel群G的构造
- Constitute a Type of Association Scheme by Using Finite Abelian Group 利用有限Abel群构造一类结合方案
- AN ALGORITHM OF DECOMPOSING FINITE ABELIAN GROUP INTO DIRECT PRODUCTS OF P 一个有限Abel群分解为P群直积的算法
- An algorithm for testing isomorphism of finite abelian groups 有限阿贝尔群同构的一个判定算法