On the F-Hypercenter of Finite Solvable Groups

Let F be a non-empty subgroup-closed saturated formation, it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if pC2 and every cyclic subgroup of order 2 or 4 if p=2 are contained in the -hypercenter of the normalizer No（P） of a Sylow p-subgroup P of G. Our results improve and extend some conclusions in the previ- ous references.

超中心扩张的根

本文引入了超中心扩张的概念，得到了类似于小心扩张的几个漂亮结果。

超中心扩张与Azumaya代数

通过对超中心扩张的Nil-根与Jacobson-根的性质的探讨,将其结果运用到Azumaya代数上.

超中心扩张根的几个定理

建立了环的超中心扩张及超中心多项式的概念,研究了给定环R_1的超中心扩张R与其超中心T(R)的Jacobson根,nil根,得到了在某些条件下的等式:J(R)=J(T(R))R_1,Nil(R)=Nil(T(R))R_1。