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Czechoslovak Mathematical Journal, Vol. 69, No. 1, pp. 39-43, 2019

On weakly-supplemented subgroups of finite groups

Qingjun Kong

Received March 30, 2017.   Published online May 14, 2018.
Abstract:  A subgroup $H$ of a finite group $G$ is weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G=HK$. In this paper, some interesting results with weakly-supplemented minimal subgroups to a smaller subgroup of $G$ are obtained.
Keywords:  weakly-supplemented subgroup; complemented subgroup; supersolvable group
Classification MSC:  20D10, 20D20
DOI:  10.21136/CMJ.2018.0150-17
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References:
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[5] Q. Kong, Q. Liu: The influence of weakly-supplemented subgroups on the structure of finite groups. Czech. Math. J. 64 (2014), 173-182. DOI 10.1007/s10587-014-0092-y | MR 3247453 | Zbl 1321.20021
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[7] H. Pan: A note on weakly-supplemented subgroups of finite groups. To appear in Czech. Math. J. (2018). DOI 10.21136/CMJ.2017.0067-17
Affiliations:   Qingjun Kong, Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, P. R. China, e-mail: kqj2929@163.com
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