子拟群

In section 4,we research the solvable groups of finite rank,and provethat the union set of all quasi-cyclic subgroups of G is a characteristic subgroup andthe Hirsch number hdoes not exceed n if G is a solvable group of rank n.Inparticular,for an arbitrary solvable torsion-free group G of rank n,we give theupper bound fof the derived length of G.

在第4节里，我们研究了有限秩的可解群，证明了这类群的所有拟循环子群构成它的一个特征子群，且对秩n的可解群G来说，其Hirsch数h≤n，另外，我们给出了秩n的无挠可解群的导出长度的一个上界。

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。

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。

Subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

bstract 设G是有限群，称G的子群H在G中π-拟正规嵌入，如果对于{H}的每个素因子p， H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

A subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

设G是有限群，称G的子群H在G中π-拟正规嵌入，如果对于{H}的每个素因子p， H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

The steady-state solution is known to be the positive eigenfuction corresponding to the simple eigenvalue 0 of the system operator.

于是作为半群拟紧性和不可约性的直接结果，得到了系统的时间依赖解指数收敛到其静态解，并且该静态解即为系统算子简单特征值0对应的正的特征向量。

A sufficient condition for supersolvable group depending on theproperty π-quasinormal of its Fitting subgroup is given.

聂林通过讨论有限群的Fitting子群的极小子群的π-拟正规性，利用有限群的正规群列及多种有限群论的方法和技巧，得到了一个有限的可解群成为超可解的充分条件。

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。

A subgroup of a finite group G is called π-quasinormal in G if it permutes with every Sylow subgroup of G. A subgroup H of a group G is said to be c-supplemented in G if there exists a subgroup N of G such that G=HN and H∩N≤H=Core.

有限群G的一个子群称为在G中是π-拟正规的若它与G的每一个Sylow-子群是交换的。G的一个子群H称为在G中是c-可补的若存在G的子群N使得G=HN且H∩N≤H＝Core。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。