查询词典 normal subgroup

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。

Through the multiple stepwise regression analysis, the duration of the disease and serum GH level were the main influencing factors of acromegalic cardiomyopathy. 2 Ejection fraction and fractional shortening, were decreased, compared to control group, they still remained in normal range. 3 Isovolumic relaxation time and E wave descending time, were delayed apparently compared to control group, indicating the damage of cardiac relaxation. 4 Subgroup analysis in acromegalic: The comparison between patients with diabetes mellitus and impaired glucose tolerance and patients without DM/IGT showed that there was no significant difference in terms of the parameters in the two groups, in spite of an mild increase of IVST in the former group.

经多元逐步回归分析，病程和血清生长激素浓度为心肌肥厚的主要影响因素。2实验组射血分数和左心室短轴缩短率虽较对照组低，但仍在正常范围。3实验组左心室等容舒张时间和二尖瓣减速时间较对照组明显延长。4实验组中继发糖尿病／糖耐量减低组与非DM/IGT组进行比较，前者仅室间隔有较明显增厚，其余各项参数2组间差异均无统计学意义。

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。

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。

In Chapter Ⅱ, we introduce a Suslin s famous result: when n≥3, the elementary group of general linear group of rank n is a normal subgroup.

第二章介绍了Suslin给出的一个著名结果：当n≥3且系数环为可换环，则n阶一般线性群的基本子群是正规子群。

Furthermore, when the normal subgroup is the idendity group, the basis of the first space is just as the set of irreducible Brauer characters.

进一步，当正规子群为单位元群时，前面一个空间的基就是不可约Brauer特征标的集合。

A finite group G is called n-decomposable if every proper non-trivial normal subgroup of G is a union of n distinct conjugacy classes of G.

如果有限群G的每个非平凡真正规子群均是G的n个不同共轭类的并，则称G为n-可分解的。

Every group G has a normal subgroup N such that the quotient group G/N is a simple group.

任何群G都存在正规子群N使得G/N是单群。

The semigroup algebra theory,which has a huge development under interior and exterior double Mathematical conditions form 1950"s to 1960"s,is a new branch of algebra theory.In 1990,R.Biswas gave definition of anti-fuzzy subgroup.In 1995,Shen gave definitions of anti-fuzzy subgroup and normal anti-fiizzy subgroup of group.

半群的代数理论是在数学内部和外部双重条件下，从20世纪50年代到60年代发展起来的一个崭新的代数分支。1990年，Biswas R提出了反Fuzzy子群的定义；1995年沈正维提出了一个群的反Fuzzy子群和正规反Fuzzy子群的定义。

On the other hand, a is invariant in G/N if χ is viewed as a character of G/N for normal subgroup N≤kerχ.

另外，我们定义的特征标次数的商a与我们将χ看成那个商群G／N无关。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。