A subgroup $H$ of a finite group $G$ is said to be $S$-embedded in $G$ if $G$ has a normal subgroup $T$ such that $HT$ is $S$-permutable in $G$ and ${H \cap T \leq H_{sG }}$. $H$ is said to be $S$-semiembedded in $G$ if there is an $S$-permutable subgroup $T$ of $G$ such that $HT$ is $S$-permutable in $G$ and $H \cap T \leq H_{\overline{s}G}$; where $H_{\overline{s}G}$ is an $S$-semipermutable subgroups of $G$ contained in $H$. In this paper, we present some new characterization of supersolubility and nilpotency of finite groups under $S$-semiembedding property.
Rasti Borujeni, S. and Rezaeezadeh, G. (2026). The influence of S-semiembedded subgroups. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2026.29460.1753
MLA
Rasti Borujeni, S. , and Rezaeezadeh, G. . "The influence of S-semiembedded subgroups", Journal of Algebra and Related Topics, , , 2026, -. doi: 10.22124/jart.2026.29460.1753
HARVARD
Rasti Borujeni, S., Rezaeezadeh, G. (2026). 'The influence of S-semiembedded subgroups', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2026.29460.1753
CHICAGO
S. Rasti Borujeni and G. Rezaeezadeh, "The influence of S-semiembedded subgroups," Journal of Algebra and Related Topics, (2026): -, doi: 10.22124/jart.2026.29460.1753
VANCOUVER
Rasti Borujeni, S., Rezaeezadeh, G. The influence of S-semiembedded subgroups. Journal of Algebra and Related Topics, 2026; (): -. doi: 10.22124/jart.2026.29460.1753
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