正规子群

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。

This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.

本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。

If each minmal subgroup or cyclic subgroup of order 4 of H is π-quasinormally embedded in G, then G∈F.

如果H的极小子群或4阶循环子群均在G中π-拟正规嵌入，则G∈F。

If every minimal p-subgroup of G is containedin Z, every cyclic subgroup of order 4 of G is conditional c-normal in G, then G isp-nilpotent.Theorem 2.3.9 Let p be a fixed prime.

定理2.3.9对某个固定的素数p，设G的每个极小p-子群包含于Z，4阶循环子群在G中条件c-正规，则G是p-幂零的。

Then G∈U.③ If every subgroup of prime order or of order 4 of a group G has a U-s-supplement or be S-quasinormal in G. then G is supersoluble.

若群G的每个素数阶子群和4阶循环子群在G中或有U-s-补充，或为S-拟正规，则G为超可解群。

Theorem3 G is a formal set p~n q of p -order subgroup of solvable simple group meeting, P is Sylowp -subgroup of G .

定理3设G是有正规p -子群的p~n q阶可解次单群， P是G的Sylowp -子群。

The authors use the condition that some subgroups of a finite group G has a U-s-supplement or be S-quasinormal in G, to give some conditions under which the group G is supersolvable and generalize some of these results into formations.

利用群G的某些子群在G中或有F-s-补充，或为S-拟正规，给出有限群为超可解的若干充分条件，并将其中的一部分结果推广到群系中。

In Chapter Ⅲ, we introduce some special case of Unitary groups, and give out the normality of the elementary group of hyperbolic Unitary group.

在第三章中，本文介绍了几类特殊的酉群和双曲空间上酉群U_(2n)的基本子群的正规性定理。

In this paper, two conclusions are obtained, one is the connection between the subgroups of and the factor groups of finite abelian groups, and another is the character conditions of the subgroups with normal compelement.

文章主要包括两个结果，一个是关于有限交换群的子群与同态像之间的联系，另一个是关于子群有正规补的一个特征标刻划。

A subgroup H of a finite group G is called s-seminormal in G if H permutes with all Sylow subgroups of G with order prime to |H|.

有限群G的一个子群H称为在G中s-半正规，如果H同G的所有阶与|H|互素的Sylow子群相乘可换。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐