A note on m-embedded subgroups of finite groups

作者：Tang Juping; Miao Long^*

来源：Turkish Journal of Mathematics, 2015, 39(4): 501-506.

DOI：10.3906/mat-1402-75

• Sylow subgroup
• {1 < = G}-embedded
• m-embedded subgroup
• saturated formation
• finite groups

Let A be a subgroup of G. A is m-embedded in G if G has a subnormal subgroup T and a {1 <= G}-embedded subgroup C such that G = AT and T boolean AND A <= C <= A. In this paper, we study the structure of finite groups by using m-embedded subgroups and obtain some new results about p-supersolvability and p-nilpotency of finite groups.

• 出版日期2015
• 单位扬州大学