共查询到20条相似文献,搜索用时 453 毫秒
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王福荣 《数学的实践与认识》2006,36(4):260-265
如果一个正则图是边传递但不是点传递的,那么我们称它是半对称的.每一个半对称图X必定是两部分点数相等的二部图,并且它的自同构群Aut(X)在每一部分上是传递的.如果一个半对称图的自同构群在每一部分上作用是本原的,那么我们称它是双本原的.本文决定了第二小阶数的双本原半对称图. 相似文献
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如果一个图Γ含有一个自同构群G使得它在顶点集V(Γ)上作用半正则且恰好有两个轨道,则称图r是群G上的双凯莱图.进一步的,如果G在全自同构群Aut(Γ)中正规,我们就称这个双凯莱图是群G上的正规双凯莱图.本文中,我们证明了绝大多数非交换单群G上的三度点传递双凯莱图都是该群上的正规双凯莱图. 相似文献
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一个图称为点传递图,如果它的全自同构群在它的顶点集合上作用传递.本文证明了一个2p~2(p为素数)阶连通3度点传递图或者是Calyley图,或者同构于广义Petersen图P(p~2,t),这里t~2≡-1(modp~2). 相似文献
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如果图X的全自同构群Aut(X)作用在其顶点集V(X)和边集E(X)上都是传递的,但作用在弧集Arc(X)上非传递,则称X是半传递图.研究了4p~2(p3且p≡-1(mod4))阶4度半传递图,确定了4p~2阶4度半传递图的连通性及其自同构群的阶. 相似文献
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图Γ称为点传递自补图,如果Γ的图自同构群AutΓ在顶点集合VΓ作用是传递的,且Γ的补图(Γ)与图Γ是同构的.本文主要研究了通过Cayley同构来构造点自补Cayley图,并证明了内循环群上的这类图必然是循环自补图. 相似文献
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证明由GF(p^2)的域自同构可以产生一类非拟本原(PSU3(P),2)-弧传递图的白同构,并研究了这样的自同构与图的传递自同构群中心化予的关系。 相似文献
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运用基图自同构能被提升的线性准则 ,对满足 :1覆叠变换群 K =Znp,2覆盖图的保簇变换群是点传递的 Petersen图的连通正则覆盖图进行了完全分类 .这种图共有 1 2种类型 . 相似文献
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设图G是一个K-正则连通点可迁图.如果G不是极大限制性边连通的,那么G含有一个(k-1)-因子,它的所有分支都同构于同一个阶价于k和2k-3之间的点可迁图.此结果在某种程度上加强了Watkins的相应命题:如果k正则点可迁图G不是k连通的,那么G有一个因子,它的每一个分支都同构于同一个点可迁图. 相似文献
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Otto Bachmann 《Journal of Geometry》1985,24(1):49-61
Let G be a transitive collineation group of a finite projective plane such that the stabilizer G1, of a line 1 induces two point orbits on 1. Then G1 is not doubly transitive on both orbits. 相似文献
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Let(X, G) be a dynamical system(G-system for short), that is, X is a topological space and G is an infinite topological group continuously acting on X. In the paper,the authors introduce the concepts of Hausdorff sensitivity, Hausdorff equicontinuity and topological equicontinuity for G-systems and prove that a minimal G-system(X, G) is either topologically equicontinuous or Hausdorff sensitive under the assumption that X is a T3-space and they provide a classification of transitive d... 相似文献
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Siberian Mathematical Journal - We prove that $ G $ is a finite $ \sigma $ -soluble group with transitive $ \sigma $ -permutability if and only if the following hold: (i) $ G $ possesses... 相似文献
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P. Ya. Grushko 《Mathematical Notes》1976,19(6):491-496
Among transitive G-lattices we can distinguish a rather broad class of so-called semiplane lattices associated with the semidirect product of a Lie group H and a certain automorphism group G of it. It turns out that semiplane lattices are almost always plane in the irreducible case, i.e., we can take it that group H is commutative. An exception is the case of the adjoined representation of a simple Lie group. We have also proved that if group G is involutive and has a small radical, then all transitive G-lattices turn out to be semiplane.Translated from Matematicheskie Zametki, Vol. 19, No. 6, pp. 833–842, June, 1976. 相似文献
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设G是一个阶不小于6的k正则连通点可迁图. 如果G不含三角形, 那么图G是极大3限制边连通的, 或者G含有各连通分支都同构于同一个h阶点可迁图的k-1正则因子, 其中2k-2≤h≤3k-5. 唯一的例外是: G是围长等于4 的3正则图. 相似文献
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Jing XU LMAM School of Mathematical Sciences Peking University Beijing China 《中国科学A辑(英文版)》2007,50(12):1673-1679
In this paper we give a classification of the orientable regular embeddings of Q_n for n=2m with m odd.Actually we prove that the known examples given by Kwon are the only regular maps of Q_n when n=2m (m odd). 相似文献
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Journal of Theoretical Probability - We consider a transitive action of a finitely generated group G and the Schreier graph $$\varGamma $$ defined by this action for some fixed generating set. For... 相似文献
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Let G be a k-transitive permutation set on E and let E* = E∪{∞},∞ ? E; if G* is a (k: + 1)-transitive permutation set on E*, G* is said to be an extension of G whenever G ∝ * =G. In this work we deal with the problem of extending (sharply) k- transitive permutation sets into (sharply) (k + 1)-transitive permutation sets. In particular we give sufficient conditions for the extension of such sets; these conditions can be reduced to a unique one (which is a necessary condition too) whenever the considered set is a group. Furthermore we establish necessary and sufficient conditions for a sharply k- transitive permutation set (k ≥ 3) to be a group. Math. Subj. Class.: 20B20 Multiply finite transitive permutation groups 20B22 Multiply infinite transitive permutation groups 相似文献