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Algebra i logika, 2015, Volume 54, Number 4, Pages 503–519
DOI: https://doi.org/10.17377/alglog.2015.54.406 (Mi al707) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Endomorphisms of free solvable groups preserving primitivity of systems of elements

E. I. Timoshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092, Russia
Full-text PDF (190 kB) Citations (2)
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DOI: https://doi.org/10.17377/alglog.2015.54.406
Abstract: It is proved that an endomorphism of a free metabelian group $S_r$ of any finite rank $r$ that preserves primitivity of systems of elements is an automorphism; in addition, every primitive endomorphism of a free solvable group of rank 2 is an automorphism.
Keywords: free metabelian group, free solvable group, endomorphism, automorphism.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01485
Ministry of Education and Science of the Russian Federation 2014/138, проект 1052
Supported by RFBR (project No. 15-01-01485) and by the Russian Ministry of Education and Science (gov. contract 2014/138, project No. 1052).
Received: 06.05.2014
Revised: 16.11.2014
English version:
Algebra and Logic, 2015, Volume 54, Issue 4, Pages 323–335
DOI: https://doi.org/10.1007/s10469-015-9352-7
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Endomorphisms of free solvable groups preserving primitivity of systems of elements”, Algebra Logika, 54:4 (2015), 503–519; Algebra and Logic, 54:4 (2015), 323–335
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :36
    References:28
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