Open Mathematics (Jun 2019)

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

  • Xu Yong,
  • Li Xianhua,
  • Chen Guiyun

DOI
https://doi.org/10.1515/math-2019-0043
Journal volume & issue
Vol. 17, no. 1
pp. 602 – 606

Abstract

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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.

Keywords