Finite groups with some weakly pronormal subgroups

Jianjun Liu, Mengling Jiang, Guiyun Chen
2020 Open Mathematics  
A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G such that G=HK and H\cap K is pronormal in G. In this paper, we investigate the structure of the finite groups in which some subgroups are weakly pronormal. Our results improve and generalize many known results.
doi:10.1515/math-2020-0125 fatcat:b62e3xdbkzai5hki2or7qhk4oe