Geodesic
The influence of $s$-$c$-permutably embedded subgroups on the structure of finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2010), pp. 54-61

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A subgroup $H$ of a group $G$ is said to be $s$-$c$-permutably embedded in $G$ if every Sylow subgroup of $H$ is a Sylow subgroup of some $s$-conditionally permutable subgroup of $G$. In this paper, some new characterizations for a finite group to be $p$-supersoluble or $p$-nilpotent are obtained under the assumption that some of its maximal subgroups or 2-maximal subgroups of Sylow subgroups are $s$-$c$-permutably embedded. A series of known results are generalized.
Keywords: finite group, $s$-$c$-permutably embedded subgroups, 2-maximal subgroups, Sylow subgroup, $p$-supersoluble group, $p$-nilpotent group. 
@article{PFMT_2010_2_a7,
     author = {Fan Cheng and Jianhong Huang and Wenjuan Niu and Lifang Ma},
     title = {The influence of $s$-$c$-permutably embedded subgroups on the structure of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {54--61},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_2_a7/}
}
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Fan Cheng; Jianhong Huang; Wenjuan Niu; Lifang Ma. The influence of $s$-$c$-permutably embedded subgroups on the structure of finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2010), pp. 54-61. http://geodesic.mathdoc.fr/item/PFMT_2010_2_a7/