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Kimmerle proved that Coleman outer automorphism group is abelian and gave some sufficient conditions on the group being a p — group and trivial group.

Kimmerle又证明了该群还是交换群，而且他们给出了Coleman外自同构群是p'-群的一些充分条件和该群为平凡群的情况。

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。

According to the generator matrix of a linear code, automorphism group is studied.

摘要从线性码的生成矩阵出发，研究线性码的自同构群。

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。

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。

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 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。

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。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。