查询词典 outer automorphism

Moreover, some subgroups of Aut are obtained, such asthe inner automorphism group, the central automorphism group, the involutional automorphism group, the first and the second extremal automorphism group.

证明了：当n=0时，Aut中每个元素都是内自同构，且Aut≌C(定理1.12)。n=1时，Aut中每个元素都是有限个内自同构，中心自同构，对合自同构和第一类外自同构的乘积(定理1.13)。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

If let H be a complex separable Hilbert space ,dimH ≥ 3, we prove that every approximately 2- local automorphism of P B_s(H,E is an automorphism. Every real linear approximately local automorphism of B_s is an automorphism.

另外本章还证明了对于可分的Hilbert空间H，当dimH≥3时，P，B_s和E的近似2—局部自同构是自同构，B_s的实线性近似局部自同构是自同构。

Dade made enormous researches on Coleman automorphism of a finite group and obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent.

E.C.Dade通过对有限群的Coleman自同构的大量研究得到了一系列开创性的结果，最重要的是证明了Coleman外自同构群是幂零群。

Sees only the twinkling of an eye time, suffers the corrosion to change the yellow left hand outer space glove, the sudden color changes gradually black, the surface starts the crack to carbonize, this time Huang Qu senior official yellow Jinlong already obviously felt, the left hand points to the end to start to give off heat; This kind of corrosive steam has finally revealed the ominous ruthless unusual truth about the matter, this sudden gradation lets the human be virtually impossible to guard against, is following the strong corrosion permeability, before long on perish entire outer space glove outer layer and fast thorough in, Huang Qu senior official yellow Jinlong had a premonition the situation is not wonderful, wants to return to the planetoid control center immediately, in order to takes off the outer space glove under the artificial environment which this only bad luck passes goes against, because in on this high speed movement planetoid, the surface temperature may melt the steel and iron, once casts off the outer space glove, the flesh and blood constitution manpower can instantaneous burn, and can threaten human's entire life immediately!

只见一眨眼功夫，遭受腐蚀变黄的左手太空手套，突然颜色逐渐变黑，表面开始裂纹炭化，此时黄区长官黄金龙已经明显地感觉到，左手指端开始发热；这种腐蚀性蒸汽终于露出了凶狠异常的庐山真面目，这突然的渐变让人防不胜防，伴随着强劲的腐蚀渗透性，不一会儿就腐蚀掉了整个太空手套的外层并快速深入内部，黄区长官黄金龙预感到情况不妙，想立即返回小行星指挥中心，以便在人工环境下脱下这只倒霉透顶的太空手套，因为在这颗高速运行的小行星上，表面温度可以熔化钢铁，一旦摘掉太空手套，血肉之躯构成的人手就会瞬间被烤焦，并会迅即威胁到人的整个生命！

The outer neuroblastic layer before it divided to inner and outer nuclear layer and outer complexiform layer and gonglion cell layer showed a temporal PCNA positive which was related to proliferation. The three cell layers had another PCNA positive when finished time changed from outer to inner after their morphologic development basically completed( outer nuclear layer:11～15 days,inner nuclear layer: 8～16 days, gonglion cell layer:16～21 days).

PCNA显示在外成神经细胞层分化为内、外核层和外丛状层之前，和节细胞各有一次和增殖相关的阳性表达。3个细胞层在形态学的分化基本完成后，又出现了一次结束时间是由外向内变化的阳性过程（外核层：第11天至15天：内核层：第8天至16天，神经节细胞层： 16天到21天，这一次阳性表达过程可见到细胞形态向成年形态的转化。

This paper defines j-dual automorphism and anti- automorphism of de Bruijn Good graph Gn over F2+vF2 ring.

文章定义了F2+vF2环上的de Bruijn Good图Gn的j对偶自同构及反自同构，并给出了在F2+vF2环上移位寄存器非奇异的充要条件，以及非奇异反馈函数与其自同构函数的表达式。

On the basis of that, a finite group G satisfying |Aut: Paut|=1, p or pq is successfully classified, where p, q are distinct primes, Aut is the automorphism group of G and Paut is the power automorphism group of G.

然后在此基础上综合运用多方面的知识，进一步给出了满足条件|Aut∶Paut|=1，p或pq的有限群的完全分类，其中Aut是群G的自同构群，Paut是G的幂自同构群，p，q仍是不同的素数。

In the paper,Coleman automorphism is further researched and some properties of Coleman automorphism are obtained.

本文首先对Coleman自同构做了更深入的研究，得到了Coleman自同构的一些性质。

The automorphism groups of the two posets are given and the numbers of orbits of the automorphism groups are counted. At the same time, the number of words in every rank of the posets is obtained.

本章给出了偏序集P和Q的自同构群，计算了在各自的自同构群作用下轨道的个数以及每一轨道中元素的个数，得到了偏序集中每一秩中元素的个数。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。