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Algebra and Discrete Mathematics, 2020, Volume 29, Issue 1, Pages 74–84
DOI: https://doi.org/10.12958/adm1357 (Mi adm740) 		 
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

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

L. A. Kurdachenkoa, I. Ya. Subbotinb, T. V. Velychkoa

a Department of Geometry and Algebra, Dnipro National University, 72 Gagarin Av., Dnipro, Ukraine 49010
b Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA
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DOI: https://doi.org/10.12958/adm1357
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.
Received: 17.03.2019
Bibliographic databases:
Document Type: Article
MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50
Language: English
Citation: L. A. Kurdachenko, I. Ya. Subbotin, T. V. Velychko, “On the non-periodic groups, whose subgroups of infinite special rank are transitively normal”, Algebra Discrete Math., 29:1 (2020), 74–84
Citation in format AMSBIB
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\paper On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal
\jour Algebra Discrete Math.
\yr 2020
\vol 29
\issue 1
\pages 74--84
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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