University of Guilan Journal of Algebra and Related Topics 2345-3931 Articles in Press 2026 04 08 The influence of S-semiembedded subgroups 9532 10.22124/jart.2026.29460.1753 EN S. Rasti Borujeni Department of Pure Mathematics‎, ‎Shahrekord University‎, ‎P.O.Box 115‎, ‎Shahrekord‎, ‎Iran Gh. ‎Rezaeezadeh Department of Pure Mathematics‎, ‎Shahrekord University‎, ‎P.O.Box 115‎, ‎Shahrekord‎, ‎Iran Journal Article 2025 01 02 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. https://jart.guilan.ac.ir/article_9532_ee1ee2443daa6fec2b44f148d3be06ef.pdf