The Structure of a Finite Group Which is the Product of Two Subgroups with Some Subnormal Subgroups

Abstract

Let G be a group and $G=G_1G_2$ where $G_i$ are subgroups of G. In this paper, we investigate the structure of G under the conditions that some subgroups of $G_i$ are subnormal in G.

Keywords

Subnormal subgroup / Nilpotent group / Solvable group

Funding

National Natural Science Foundation of China(11501235)

National Natural Science Foundation of China(11171243)

Natural Science Foundation of Jiangsu Province(BK20140451)