关于极大核p-模Frobenius群的注记

若G是以L为核的p-模Frobenius群,且不存在G的包含L的非平凡正规子群M,使得M/L为一个p-群,则称G是一个有极大核L的p-模Frobenius群.给出了极大核p-模Frobenius群的若干性质.当极大核L所含的G-共轭类数目为2或者3时,考察了极大核p-模Frobenius群的结构.

A note on p-modular Frobenius groups with the maximal kernel

Let G be a p-modular Frobenius group with kernel L,where p is a prime. If there is no nontrivial normal subgroup M of G which includes M and makes M/L a p-group,then we say G is a p-modular Frobenius group with a maximal kernel L. In this note,we give some properties of a p-module Frobenius group with a maximal kernel. Moreover,we consider the structure of p-modular Frobenius groups with a maximal kernel L,when L is the union of two or three conjugacy classes in G.