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In studing the groups and graphs, the symmetry property of the graphs has been being a very hot issue, which is mainly described by some transitive properties of their automorphism groups.
在群与图研究中,图的对称性一直是一个热门问题。它主要通过图的自同构群具有某些传递性来描述。
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The symmetry of graphs has been being a very hot issue in studing the group and graph and it is mainly described by some transitive properties of acting by their automorphism groups.
在群与图研究中,图的对称性一直是一个热门问题。它主要通过图的自同构群具有某些传递性来描述。
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The all order s of automorphism groups of the groups of order p~6 in Rodney James families Φ_1 and Φ_2 are gotten,where p is an odd prime.
给出了p6阶群的RodneyJames家族Φ1和Φ2中所有群的自同构群的阶,其中p是奇素数
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If for any two t-edge sequences, there exists an automorphism of H mapping one to the other, then H is called weakly t-transitzve.
若对於任二个 t-线序列,均存在一个 H 的自同构函数,将其中一个对应到另外一个,则 H 称为弱 t-递移。
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He has proved that most, if not all, the connected cubic G-arc-transitive Coset graphs on the finite nonabelian simple groups are normal, further, has given bounds of the full automorphism on this kind of graphs.
利用陪集图的正规性可以给出某类图的全自同构群的界,且可以得到某类群具有陪集图表示的充分条件[2],另外陪集图的正规性对于求给定群的最小级陪集图表示具有重要作用[3]。
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Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold
本文确定了亚循环的内交换p-群(p≠2)的自同构群的阶,并给出了其自同构群的结构。
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We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.
我们刻画了有限vN代数上完全迹秩不增的线性映射;也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。
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Coleman automorphism occurred first in the study of the normalizer Nu of G in the units U{RG of RG.
Coleman自同构始于研究有限群G在群环RG的单位群U中的正规化子。
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If for any two t-edge sequences whose initial edges have non-empty intersection, there exists an automorphism of H mapping one to the other, then H is called locally weakly t-transitive.
若对於任二个 t-线序列,其第一个元素的交集并非空集合时,均存在一个 H 的自同构函数将其中一个对应到另外一个,则 H 称为局部弱 t-递移。
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The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.
在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的;在文献[16]中,Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立,并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的,后来这个拓扑假设被Waldhausen([7])证明是成立的。
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- 推荐网络例句
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Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.
目前大多数的研究表现为在变形后的受控Petri网基础上,利用各种方法求得各种逻辑型、结构型控制器,解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。
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On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.
一方面,有讨论,工程理事会和联盟关于延长工作时间短至9月底。
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What is the topic sentence of this article?
这篇文章中心的句子是那一句?