Geodesic
On finite $ca$-$\mathfrak{F}$-groups
Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 64-68

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Let $\mathfrak{F}$ be a class of groups. A finite group $G$ is called a $ca$-$\mathfrak{F}$-group if its every abelian chief factor of $G$ is $\mathfrak{F}$-central and every nonabelian chief factor of $G$ is a simple group. It is established that the class of $ca$-$\mathfrak{F}$-groups forms a composite formation. The properties of the products of normal $ca$-$\mathfrak{F}$-subgroups of finite groups are investigated.
Keywords: finite group, $ca$-$\mathfrak{F}$-group
Mots-clés : composition formation, radical formation, semiradical formation. 
@article{PFMT_2014_2_a10,
     author = {E. N. Myslovets},
     title = {On finite $ca$-$\mathfrak{F}$-groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {64--68},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_2_a10/}
}
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E. N. Myslovets. On finite $ca$-$\mathfrak{F}$-groups. Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 64-68. http://geodesic.mathdoc.fr/item/PFMT_2014_2_a10/