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...
We also obtain results on the automorphism groups of the corresponding 1-factorizations and their embeddibility in Kirkman triple systems.doi:10.1016/0012-365X(85)90191-8W.L. KocayD.R. StinsonS.A. VanstoneElsevier B.V.Discrete Mathematics...
Since PSL(2, n) is a transitive group, it follows that the number of codewords of weight 2i − 1 and of weight 2i in the QR code are related by 2i(A2i-1 + A2i) = (n + 1) A2i-1 (both expressions count the number of ones in the words of weight 2i in the extended ...
Any Schur ring is uniquely determined by a partition of the elements of the group. An open question in the study of Schur rings is determining which partitions of the group induce a Schur ring. Although a structure theorem is available for Schur rings over cyclic groups, it is still a diff...
the discrete logarithm problem in degree 0class groups of non-singular curves over finite fields $\\\mathbb{F}_q$ can besolved in an expected time of $ilde{O}(q^{2-2/g})$, provided that the curveis given by a plane model of bounded degree and the degree 0 class group iscyclic...
Second, the corresponding quotient network has a cyclic group of automorphisms, and the phase relations are induced by associating a fixed phase shift with a generator of this group. Thus the clumps of synchronous cells form a discrete rotating wave. As a corollary, we prove an analogue of ...
In this paper, we focus on the design of binary constant weight codes that admit low-complexity encoding and decoding algorithms, and that have size $$M=2^
Let G be a finite abelian group and S = g 1 ⋯ g l a minimal zero-sum sequence of elements in G. We say that S is unsplittable if there do not exist an e... X Xia,P Yuan - 《Discrete Mathematics》 被引量: 28发表: 2010年 Minimal zero-sum sequence of length five over finit...
1.revolving or recurring in cycles; characterized by recurrence in cycles. 2.of, pertaining to, or being a cycle. 3.of or pertaining to a chemical compound containing a closed chain or ring of atoms. 4. a.pertaining to an algebraic system in which all the elements of a group are powers...
A skew-morphism of a finite group A is a permutation φ on A fixing the identity element, and for which there exists an integer function π on A such that, for all x,y∈Ax,y∈A, φ(xy)=φ(x)φπ(x)(y)φ(xy)=φ(x)φπ(x)(y). In [I. Kovács and R. Nedela, Skew-mor...