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In chapter 1 ,on one hand ,we give some sufficient conditions for a finite group to be supersolvable and nilipotent by using the properties of π-supplemented subgroups;For example: Theorem 3 Let G be a group, 2 ∈π, if every subgroup of G of prime order is contained in SE, every cyclic subgroup of G of order 4 is π-supplemented in G, then G will be supersolvable.

在第一章中，一方面我们利用π-可补子群的性质给出了有限群为超可解群及幂零群的若干充分条件；例如：定理3设G是群，2∈π，如果G的每个素数阶子群包含在SE中，G的每个4阶循环子群在G中π-可补，则G为超可解群。

Theorem 7 Let G be a group, if every subgroup of G of prime order is contained in Z_∞,2 ∈π, every cyclic subgroup of G of order 4 is π-supplemented in G,then G will be nilpotent.

定理7设G是群，G的素数阶子群包含在Z_∞中，2∈π，如果G的每个4阶循环子群在G中π-可补，则G为幂零群。

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。

Let F=LF be a s-closed local formation such that every minimal non-F-groups is solvable. It is proved that 1 If every cyclic subgroup of of order 4 and every minimal subgroup of G are contained in, then G is a F-group. 2 If there exists a normal subgroup N of G such that G/N∈F and every cyclic subgroup of N of order 4 is weakly c-normal in G and every element of N of prime order is contained in Z(superscript f subscript ∞), then G is a F-group.

设F=LF是一个子群闭的局部群系，满足每个极小非F-群是可解群，证明了：1如果G的任意极小子群和任意4阶循环子群都含于Z中，那么G是F-群；2如果存在G的正规子群，使得G/N∈F，且N的任一4阶循环子群在G中弱c-正规，N的任一素数阶元含于Z中，那么G是F-群。

Probably, it has no pretty cyclostyle as the others and renews slowly, but I try to let it be a real tour blog. Using my own experience and feeling tell my readers how the places where I have been a

或许，我的博客不会像其他博客那样有漂亮的模板，更新也比较慢，但我想把它建成一个真正的旅游博客，用我的亲身感受来让大家了解我去过的每一个地方，而不是随便编造一些事实。

Probably, it has no pretty cyclostyle as the others and renews slowly, but I try to let it be a real tour blog. Using my own experience and feeling tell my readers how the places where I have been are., instead of thinking up some facts.

或许，我的博客不会像其他博客那样有漂亮的模板，更新也比较慢，但我想把它建成一个真正的旅游博客，用我的亲身感受来让大家了解我去过的每一个地方，而不是随便编造一些事实。

He that drinks his cyder alone, let him catch his horse alone.

独自地喝他的苹果酒的他，让他独自地抓他的马。

Add flow passage inside of oil cylinder to let oil run and take heat away.

油缸内增设流道使油液流动起来，带走热量。

When I was done, I let them know 'if you want me back, I can't read Monday…I have to strike Cymbeline.'

结束之后我告诉他们，如果你们想要我，礼拜一我排不了戏。。。

Let faith be your cynosure to walk by .

让信仰成为你生活中的灯塔。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。