Finite Groups with Minimal CSS-subgroups
DOI:
https://doi.org/10.29020/nybg.ejpam.v14i3.4036Keywords:
CSS-subgroup, c-normal subgroup, SS-quasinormal subgroup, p-nilpotent group, saturated formationAbstract
Let G be a finite group. A subgroup H of G is called SS-quasinormal in G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B. A subgroup H of G is called CSS-subgroup in G if there exists a normal subgroup K of G such that G = HK and H ∩K is SS-quasinormal in G. In this paper, we investigate the influence of minimal CSS-subgroups of G on its structure. Our results improve and generalize several recent results in the literature.Downloads
Published
2021-08-05
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Section
Nonlinear Analysis
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How to Cite
Finite Groups with Minimal CSS-subgroups. (2021). European Journal of Pure and Applied Mathematics, 14(3), 1002-1014. https://doi.org/10.29020/nybg.ejpam.v14i3.4036