A question on weakly H-subgroups of a finite group

作者：Gao, Jinxin; Guo, Xiuyun^*

来源：Journal of Algebra and Its Applications, 2018, 17(8): 1850144.

DOI：10.1142/S021949881850144X

• H-subgroup
• weakly H-subgroup
• p-supersoluble group

A subgroup H of a finite group G is said to be an H-subgroup in G if N-G(H) boolean AND H-g <= H for all g is an element of G; and H is said to be a weakly H-subgroup in G if there is a normal subgroup T of G such that G = HT and H boolean AND T is an H-subgroup of G. In this paper, we give a positive answer to a problem posed by Li and Qiao [On weakly H-subgroups and p-nilpotency of finite groups, J. Algebra Appl. 16 (2017) 1750042].

• 出版日期2018-8
• 单位上海大学