Geodesic
$S$-$C$-permutably embedded subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 3 (2010), pp. 41-48

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A subgroup $H$ of a finite group $G$ is said to be $s$-conditionally permutably embedded (or in brevity, $s$-$c$-permutably embedded) in $G$ if for each $p \in \pi(H)$ every Sylow $p$-subgroup of $H$ is a Sylow $p$-subgroup of some $s$-conditionally permutable subgroup of $G$. In this paper, we use some $s$-$c$-permutably embedded subgroups to study the structure of some groups. Some known results are generalized.
Keywords: finite group, $s$-conditionally permutably embedded subgroup, Sylow subgroup, maximal subgroup.
Mots-clés : formation 
@article{PFMT_2010_3_a5,
     author = {Jianhong Huang and Fengyan Xie and Xiaolan Yi},
     title = {$S$-$C$-permutably embedded subgroups of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
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     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_3_a5/}
}
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Jianhong Huang; Fengyan Xie; Xiaolan Yi. $S$-$C$-permutably embedded subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 3 (2010), pp. 41-48. http://geodesic.mathdoc.fr/item/PFMT_2010_3_a5/