群

In this project we obtain a sufficient and necessary condition for a finite group G has a p-block with a normal p-subgroup D as a defect group, a necessary and sufficient condition for a group which is an extension of a nilpotent group by an abelian group has a p-block of defect zero.

本项目中我们给出了正规p-子群是有限群G的亏群的一个充要条件和幂零群被交换群扩张的群有亏零块的充要条件。

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。

Based on Phylogenetic analysis of sequences from these 10 phytoplasmas using PAUP (phylogenetic analysis using parsimony) software, these phytoplasmas could be classified into five groups. These phytoplasmas groups and strains were: group 1, sweetpotato witches' broom, mainland China strain of sweetpotato witches' broom, peanut witches' broom and Ipomoea obscura witches' broom; group 2, loofah witches' broom; group 3, elm yellows; group 4, rice yellow dwarf and sugarcane white leaf disease; group 5, New Jersey strain of aster yellows and western strain of aster yellows.

从spacer序列堆衍的亲缘演化树显示这10种植物菌质体可分为5群：第一群，甘薯簇叶病、甘薯簇叶病、花生簇叶病及细花牵牛簇叶病等菌质体；第二群，丝瓜簇叶病菌质体；第三群，榆树黄化病菌质体；第四群，水稻黄萎病及甘蔗白叶病菌质体；第五群，翠菊黄化病菌质体。

The attention digs group of active character; inside not effervescent to diving for long, he did not discuss T; as group advocate, at one's leisure must go up more group in a little, discover what is good east east, share; with everybody for a short while group when Li Taian is static, do not have a thing to look for the; that select an issue group active, very old rate depends on group advocate.

注意挖掘群内的活跃人物；对于长时间潜水不冒泡的，T他没商量；做为群主，有空时一定要多上群里聊聊，发现什么好东东了，第一时间和大家分享一下；群里太安静时，就没事找点事；群活跃不活跃，很大程度取决于群主。

Furthermore,we consider the relations between the general linear groups and the corresponding BN-pairs and show that they satisfy a commutative diagram of groups.In Chapter 2,we study the structure of unitary groups over finite group rings R and its applications.

第一章考虑任意局部环上典型群的BN-对问题，构造了局部环上一般线性群、辛群、正交群的BN-对，并且证明了局部环上一般线性群与对应的BN-对之间满足群交换图关系。

Many scholars have studied these respects and given many important results, for example, the Hupperts famous theorem, namely, a finite group G is supersolvable if and only if every maximal subgroup of G has prime index; a finite group G is nilpotent if and only if every maximal subgroup of G is normal in G; a finite group G is solvable if and only if every maximal subgroup of G is c-normal in G (See it in [70]); etc.

很多学者都在这些方面进行了研究，得到了很多重要的结果，如：著名的Huppert定理，即有限群为超可解当且仅当它的所有极大子群的指数为素数；有限群为幂零当且仅当每个极大子群都正规；有限群为可解当且仅当它的极大子群均c-正规(见[70])；等等。

The self-organization evolving mechanism of cluster sustainable growth are analysed and discussed , and the article think that the opening and unbalance is the precondition , fluctuating is the inducement , furcation and environment selection is the path , competition and cooperation is the power about cluster sustainable growth.

探讨了产业集群持续成长的自组织演化机理，并认为集群的开放性与非平衡是集群持续成长的前提；涨落是集群持续成长的诱因；分叉与环境选择是集群持续成长的路径；竞争与协同是集群持续成长的动力。

In § 1, we give main definitions and basic results that are needed in the paper. In § 2, we determine the structures of somegroups by using s-normality of Sylow subgroups and the maximal subgroups of Sylow subgroups. There are the main theorems that 1 Let G be a finite group and P be a Sylow p-subgroup of G where p is a prime divisor of |G|.

我们在§1中将给出本文所需的主要概念和基本结果，在§2中讨论Sylow子群、Sylow子群的极大子群的s-正规性对群的结构的影响，主要结果是1设G为有限群，p为|G|的素因子，P为G的Sylow p-子群。

Further,we findalso that groups in Saito's results may be replaced by right groups;secondly we mainly investigatethe semidirect products and wreath products of P-regular semigroups;Finally we shallcharacterize the sandwich matrice of completely simple P-regular semigroups,and investigate thestructure of P-regular semigroup whose C-set satisfies a permutation identity.

在这一章中，首先指出Saito在研究半群的半直积和圈积时，对S的限制是不必要的，证明了Saito结果中群可换为右群；其次，研究P—正则半群的半直积和圈积；最后刻划了完全单P—正则半群的夹心阵和C—集满足置换恒等式的P—正则半群的结构。

In this part, we will study some basic and important concepts such as semi-group, group, isomorphism, homomorphism, subgroup, invariant subgroup, factor group, and transformation group.

本部分考虑的主要概念有半群、群、同构、同态、子群、不变子群、商群以及变换群等。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。