Geodesic
A note on $c$-normal subgroups of finite groups
Algebra and discrete mathematics, no. 3 (2005), pp. 85-95

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Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1|D||P|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $|H|=|D|$ are $c$-normal in $G$.
Keywords: finite group, supersoluble group, $c$-normal subgroup, maximal subgroup, Sylow subgroup. 
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     author = {Alexander N. Skiba},
     title = {A note on $c$-normal subgroups of finite groups},
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     publisher = {mathdoc},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2005_3_a6/}
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Alexander N. Skiba. A note on $c$-normal subgroups of finite groups. Algebra and discrete mathematics, no. 3 (2005), pp. 85-95. http://geodesic.mathdoc.fr/item/ADM_2005_3_a6/