On the non–periodic groups, whose subgroups of infinite special rank are transitively normal

L. A. Kurdachenko, I. Ya. Subbotin, T. V. Velychko

Abstract


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, soluble group, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups

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DOI: http://dx.doi.org/10.12958/adm1357

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