Geodesic
On normal subclasses of Fischer class of finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 39-49

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Let $\mathfrak{X}$ be a $\pi$-solvable Fischer class. In the paper we studied $\pi$-saturated Fitting classes, which are normal in $\mathfrak{X}$. It is proved, that intersection of any set of such classes is a $\pi$-saturated Fitting class, which is normal in $\mathfrak{X}$.
Keywords: Fitting class, $\mathfrak{F}$-injector, Fischer class, semilocal Fitting class. 
@article{PFMT_2013_2_a6,
     author = {S. N. Vorob'ev},
     title = {On normal subclasses of {Fischer} class of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {39--49},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_2_a6/}
}
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S. N. Vorob'ev. On normal subclasses of Fischer class of finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 39-49. http://geodesic.mathdoc.fr/item/PFMT_2013_2_a6/