Geodesic
On weakly-supplemented subgroups of finite groups
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 39-43 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2018.0150-17
Classification : 20D10, 20D20
Keywords: weakly-supplemented subgroup; complemented subgroup; supersolvable group 
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Kong, Qingjun. On weakly-supplemented subgroups of finite groups. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 39-43. doi: 10.21136/CMJ.2018.0150-17

[1] Arad, Z., Ward, M. B.: New criteria for the solvability of finite groups. J. Algebra 77 (1982), 234-246. | DOI | MR | JFM

[2] Hall, P.: A characteristic property of soluble groups. J. Lond. Math. Soc. 12 (1937), 198-200. | DOI | MR | JFM

[3] Hall, P.: Complemented groups. J. Lond. Math. Soc. 12 (1937), 201-204. | DOI | MR | JFM

[4] Huppert, B.: Endliche Gruppen I. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 134, Springer, Berlin (1967), German. | DOI | MR | JFM

[5] Kong, Q., Liu, Q.: The influence of weakly-supplemented subgroups on the structure of finite groups. Czech. Math. J. 64 (2014), 173-182. | DOI | MR | JFM

[6] Li, D., Guo, X.: The influence of $c$-normality of subgroups on the structure of finite groups II. Commun. Algebra 26 (1998), 1913-1922. | DOI | MR | JFM

[7] Pan, H.: A note on weakly-supplemented subgroups of finite groups. (to appear) in Czech. Math. J. (2018). | DOI | MR

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