具有给定Sylow-子群正规化子的有限群

FINITE GROUPS WITH GIVEN NORMALIZERS OF SYLOW SUBGROUPS

本文研究了部分Sylow-子群的正规化子属于某群系且具有给定指数的有限{ p,q}-可解群,利用Sylow-子群正规化子的性质,获得了相关群的一个分类定理,并给出了若干推论.

In this paper, we investigate the finite { p,q}-soluble groups with given indices of normalizers of Sylow subgroups belonging to a formation in terms of the property of normalizers of Sylow subgroups. A theorem for the group is obtained, and some corollarys are given.