线性群的子群及其刻划

Subgroups of Linear Groups and Its Characterization

本文利用给定阶有限群中一个Ｓｙｌｏｗ子群的性质，确定了该群中所有Ｓｙｌｏｗ子群及其正规化子的结构，并从而得出了该子群的同构类型。

Giving the property of some Sylow subgroup in a finite group with given order, we determine the structure of all of its Sylow subgroups and their normalizers, and thus determine the isomorphic type of the given group.