This article is cited in 2 papers

RESEARCH ARTICLE

On groups whose subgroups of infinite special rank are transitively normal

N. N. Semko^a, T. V. Velychko<sup>b

a</sup> Department of Mathematics, University of State Fiscal Service of Ukraine, Universytetska street 31, Irpin, Kyiv region, Ukraine
^b Department of Geometry and Algebra, Oles Honchar Dnipro National University, Gagarin prospect, 72, Dnipro, 49010, Ukraine

Abstract: This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.

Keywords: finite special rank, soluble group, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups.

MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50

Received: 02.05.2017

Language: English

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