关于π-Hall子群正规化子的两个结果

Two Results on the Normalizer of the π-Hall Subgroup

本章运用了可解群G的π-Hall子群的相关理论,在给定的条件下,将有限群的Sylowp-子群、p-子群的正规化子的两个结果推广到π-Hall子群的情形。

Let G be a solvable group. In this paper, we use the theory of the π-Hall subgroups to characterize the Sylow p-subgroups, p-subgroups of group G. Some previously known results are generalized.