Geodesic
On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal
Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 74-84

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This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group $G$ includes an ascendant locally nilpotent subgroup of infinite special rank, then $G$ is abelian.
Keywords: finite special rank, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups.
Mots-clés : soluble group 
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     title = {On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal},
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L. A. Kurdachenko; I. Ya. Subbotin; T. V. Velychko. On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal. Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 74-84. http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a6/