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