上同调元素对特征标扩张定理的影响

The effect of Cohomology Element on Gallagher's Theorem

利用上同调元素的若干乘法性质获得了Gallagher经典特征标扩张定理的一个简化证明,从而避免了该定理对Brauer广义特征标刻划定理的依赖,另外,还得到了Gallagher经典特征标扩张定理的一个推广形式。

By using cohomology element＇s products,we can get the simplified proof of Gallagher＇s theorem to avoid the dependence of Gallagher＇s theorem on Brauer＇s theorem;in addition,we have obtained the generalization of Gallagher＇s theorem.