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 共查询到20条相似文献,搜索用时 46 毫秒
1.
ACharacterizationofaClassofSymmetric(0,1)MatricesLiWen(黎稳)(DepartmentofMathematics,SouthChinaNormalUniversity,Guanzhon,510631...  相似文献   

2.
StructuresofWey1GroupsofSomeKac┐MoodyAlgebras*)LuCaihui(卢才辉)(DepartmentofMathematics,CapitalNormalUniversity,Beijing,100037)Z...  相似文献   

3.
ArangementsofSemicirclesonS1LiYingzi(李英姿)DingRen(丁仁)(Dept.ofMath.,HebeiTeachers’University,Shijiazhuang,Hebei,050016)Communic...  相似文献   

4.
A Completely Irreducible Compact Perturbation of a Class of Essentially Normal OperatorsJiangChunlan(蒋春澜)CaoGuangfu(曹广福)SunSh...  相似文献   

5.
§1. IntroductionandDefinitionAllgroupstreatedarefinite.In[1],N.P.MukherjeeandP.Bhattacharyadefinedtheconceptofθ-pairsassociatedtoamaximalsubgroupMofagroupGasfollows:aθ-pairforMisanypairofsubgroups(C,D)ofGsuchthat(1)DG,D<C,(2)〈M,C〉=G,〈M,D〉=Mand(3)C/D…  相似文献   

6.
SomeCharacterizationsofaClassof M-matricesLiWen(黎稳)andZhangMoucheng(张谋成)(DepartmentofMathematics,SouthChinaNormalUviversity,G...  相似文献   

7.
An Invariant of Gauge Transformations of Contact Riemannian StructuresLiangXiquan(梁希泉)andLiuXimin(刘西民)(InstituteofMathematics...  相似文献   

8.
OntheP-TorsionSubgroupofHomotopyGroupShenXinyao(沈信耀)(Inst.ofMath.AcademiaSinica,Beijing,100080,China)ReceivedNovember26.1993O...  相似文献   

9.
OnCompactPerturbationsofm┐AcretiveOperatorsZhangGuowei(Dept.ofBasi.Sci.,ShenyangAgriculturalUniversity,Shenyang110161)Keywor...  相似文献   

10.
OntheStructureofE┐unitaryCoversforanOrthodoxSemigroupGuoXiaojiang*(郭小江)(Dept.ofMath.,LanzhouUniversity,Lanzhou,Gansu,30000)Co...  相似文献   

11.
LetG be a finite group and let S be a nonempty subset of G not containing the identity element 1. The Cayley (di) graph X = Cay(G, S) of G with respect to S is defined byV (X)=G, E (X)={(g,sg)|g∈G, s∈S} A Cayley (di) graph X = Cay (G,S) is said to be normal ifR(G) ◃A = Aut (X). A group G is said to have a normal Cayley (di) graph if G has a subset S such that the Cayley (di) graph X = Cay (G, S) is normal. It is proved that every finite group G has a normal Cayley graph unlessG≅ℤ4×ℤ2 orGQ 8×ℤ 2 r (r⩾0) and that every finite group has a normal Cayley digraph, where Zm is the cyclic group of orderm and Q8 is the quaternion group of order 8. Project supported by the National Natural Science Foundation of China (Grant No. 10231060) and the Doctorial Program Foundation of Institutions of Higher Education of China.  相似文献   

12.
Let G be a finite group and S a subset of G not containing the identity element 1. We define the Cayley (di)graph X = Cay(G, S) of G with respect to S by V(X) = G,E(X) = {(g, sg) [ g ∈ G, s ∈ S}. A Cayley (di)graph X = Cay(G, S) is called normal if GR A = Aut(X). In this paper we prove that if S = {a, b, c} is a 3-generating subset of G = A5 not containing the identity 1, then X = Cay(G, S) is a normal Cayley digraph.  相似文献   

13.
Let p be an odd prime. In this paper we prove that all tetravalent connected Cayley graphs of order p^3 are normal. As an application, a classification of tetravalent symmetric graphs of odd prime-cube order is given.  相似文献   

14.
二面体群D_(2n)的4度正规Cayley图   总被引:4,自引:0,他引:4  
王长群  周志勇 《数学学报》2006,49(3):669-678
设G是有限群,S是G的不包含单位元1的非空子集.定义群G关于S的 Cayley(有向)图X=Cay(G,S)如下:V(x)=G,E(X)={(g,sg)|g∈G,s∈S}. Cayley图X=Cay(G,S)称为正规的如果R(G)在它的全自同构群中正规.图X称为1-正则的如果它的全自同构群在它的弧集上正则作用.本文对二面体群D2n以Z22 为点稳定子的4度正规Cayley图进行了分类.  相似文献   

15.
We define a group G to be graphically abelian if the function g?g−1 induces an automorphism of every Cayley graph of G. We give equivalent characterizations of graphically abelian groups, note features of the adjacency matrices for Cayley graphs of graphically abelian groups, and show that a non-abelian group G is graphically abelian if and only if G=E×Q, where E is an elementary abelian 2-group and Q is a quaternion group.  相似文献   

16.
群G关于S的有向Cayley图X=Cay(G,S)称为pk阶有向循环图,若G是pk阶循环群.利用有限群论和图论的较深刻的结果,对p2阶弧传递(有向)循环图的正规性条件进行了讨论,证明了任一p2阶弧传递(有向)循环图是正规的当且仅当(|Aut(G,S)|,p)=1.  相似文献   

17.
A Cayley graph Cay(G, S) on a group G is said to be normal if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G, S). In this paper, two sufficient conditions for non-normal Cayley graphs are given and by using the conditions, five infinite families of connected non-normal Cayley graphs are constructed. As an application, all connected non-normal Cayley graphs of valency 5 on A5 are determined, which generalizes a result about the normality of Cayley graphs of valency 3 or 4 on A5 determined by Xu and Xu. Further, we classify all non-CI Cayley graphs of valency 5 on A5, while Xu et al. have proved that As is a 4-CI group.  相似文献   

18.
群G的一个Cayley图X=Cay(G,S)称为正规的,如果右乘变换群R(G)在AutX中正规.研究了4m阶拟二面体群G=a,b|a~(2m)=b~2=1,a~b=a~(m+1)的4度Cayley图的正规性,其中m=2~r,且r2,并得到拟二面体群的Cayley图的同构类型.  相似文献   

19.
A Cayley graph F = Cay(G, S) of a group G with respect to S is called a circulant digraph of order pk if G is a cyclic group of the same order. Investigated in this paper are the normality conditions for arc-transitive circulant (di)graphs of order p^2 and the classification of all such graphs. It is proved that any connected arc-transitive circulant digraph of order p^2 is, up to a graph isomorphism, either Kp2, G(p^2,r), or G(p,r)[pK1], where r|p- 1.  相似文献   

20.
C.H. Li recently made the following conjecture: Let Γ be a circulant digraph of order n=n1n2 and degree m, where gcd(n1,n2)=1, n1 divides 4k, where k is odd and square-free, and every prime divisor of n2 is greater than m, or, if Γ is a circulant graph, every prime divisor of n2 is greater than 2m. Then Γ is a CI-digraph of Zn. In this paper we verify that this conjecture is true.  相似文献   

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