自同构群

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。

At first,This thesis determines the full automorphism group s of connected Cayley graphs of valency 4 of .

首先，本文决定了3p(p＞3为素数)阶亚循环群的连通4度Cayleyr图的全自同构群结构，并由此得到这类图的CI性，正规性和弧传递性。

The outer automorphism group of the free product of two syclic groups is constructed, and two exact formulas for calculating its order are established.

具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。

A finite p-group G is called LA-group, if the order of G divides the order of the automorphism group of G.

称有限p-群G是LA-群，如果群G的阶能整除群G的自同构群的阶。

The new method has two key steps: one is to get the automorphism group of HEm, and the another one is to introduce the concept of semi-Reinhardt domain and get its complete orthonornal system.

关键之处有两点：一是给出第三类华罗庚域的全纯自同构群，群中每一元素将形为(W，Z0)的内点映为点(W*，0)；二是引进了semi—Reinhardt的概念并求出了其完备标准正交函数系。

Further, we can also define if a Coset graph is a graph representation, we note it GR for short, that is, the relevant group is exactly equal to the full automorphism group of the Coset graph.

甚至，我们也可以定义一个陪集图是一个图表示，简称GR，即相应的群是否恰等于它的这个陪集图的全自同构群。

Let G be a finite group, and S a subset of G not containing theidentity element 1. The Cayley digraph Cay on G with respect to S is definedas a directed graph with vertex set G and edge set {|g∈G, s∈S}. IfS~(-1)=S, then Cay is undirected and in this case, we view two directededges and as an undirected edge {u, v}. Obviously, the right regularrepresentation R of G, the acting group of G by right multiplication, is asubgroup of the full automorphism group AutCay(G, S of Cay.

给定有限群G，设S是G的不含单位元1的子集，群G关于子集S的Cayley有向图Cay是一个以G顶点集合，而以｛|g∈G，s∈S｝为边集合的有向图，特别地，若S~(-1)=S，则X=Cay是无向的，此时我们把一条无向边｛u，v｝等同于两条有向边和，易见，群G的右正则表示R，即G在G上的右乘作用，为图Cay的全自同构群AutCay

In Chapter 5, we classify several classes of finite groups whose power automorphism groups are of large order.

第五章则以群作用为工具，克服了p-群分类的困难，给出了几类具有较大阶的幂自同构群的有限群的分类。

This paper describes the precise structure of the automorphism groups of order pq 2,where p and q are distinct primes.

考虑怎样的 pq2阶群可以作为另一个有限群的全自同构群，其中 p，q是不同的素数。

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

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新