A note on the structure of a finite group G having a subgroup H maximal in 〈H, Hg〉

Yong Xu, Xianhua Li, Guiyun Chen
2019 Open Mathematics  
Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgroup H which is maximal in 〈H, Hg〉 for some g ∈ G. Some results on the structure of 〈H, Hg〉 and G are set up. Especially, a generalization of Baer′s theorem is established.
doi:10.1515/math-2019-0043 fatcat:op2bmgllrjd2fduueq6wu6ypwq