Geodesic
The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1155-1164

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We explore the extent to which constructing the inductive theory of $\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\mathfrak{X}$-submaximal subgroups under homomorphisms with $\mathfrak{X}$-separable kernels and construct examples where such behavior is irregular.
Keywords: $\mathfrak{X}$-maximal subgroup, $\mathfrak{X}$-submaximal subgroup, complete class, $\pi$-separable group. 
@article{SEMR_2020_17_a30,
     author = {Danila O. Revin and Andrei V. Zavarnitsine},
     title = {The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1155--1164},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a30/}
}
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Danila O. Revin; Andrei V. Zavarnitsine. The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1155-1164. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a30/