Geodesic
Submaximal and epimaximal $\mathfrak{X}$-subgroups
Algebra i logika, Tome 58 (2019) no. 6, pp. 714-719

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We discuss how meaningful is the concept of an epimaximal $\mathfrak{X}$-subgroup dual to the concept of a submaximal $\mathfrak{X}$-subgroup introduced by H. Wielandt. Also a result of Wielandt is refined which characterizes the behavior of maximal $\mathfrak{X}$-subgroups under homomorphisms.
Keywords: finite group, maximal $\mathfrak{X}$-subgroup, submaximal $\mathfrak{X}$-subgroup, epimaximal $\mathfrak{X}$-subgroup. 
@article{AL_2019_58_6_a2,
     author = {D. O. Revin},
     title = {Submaximal and epimaximal $\mathfrak{X}$-subgroups},
     journal = {Algebra i logika},
     pages = {714--719},
     publisher = {mathdoc},
     volume = {58},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_6_a2/}
}
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D. O. Revin. Submaximal and epimaximal $\mathfrak{X}$-subgroups. Algebra i logika, Tome 58 (2019) no. 6, pp. 714-719. http://geodesic.mathdoc.fr/item/AL_2019_58_6_a2/