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Mathematics of the USSR-Sbornik, 1992, Volume 73, Issue 2, Pages 445–454
DOI: https://doi.org/10.1070/SM1992v073n02ABEH002554 (Mi sm1341) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Primitive elements of free groups of rank 3

V. A. Roman'kov

Computer Centre of USSR Academy of Sciences, Siberian Branch
English version PDF (593 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM1992v073n02ABEH002554
Abstract: The automorphism group of the free metabelian group $M_3$ is investigated. It is shown that $M_3$ has primitive elements not induced by primitive elements of $F_3$. A criterion is provided for elements of $M_3$ to be primitive.
Received: 06.07.1990
Bibliographic databases:
UDC: 519.4
MSC: Primary 20E05, 20F28; Secondary 20E10
Language: English
Original paper language: Russian
Citation: V. A. Roman'kov, “Primitive elements of free groups of rank 3”, Math. USSR-Sb., 73:2 (1992), 445–454
Citation in format AMSBIB
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\by V.~A.~Roman'kov
\paper Primitive elements of free groups of rank~3
\jour Math. USSR-Sb.
\yr 1992
\vol 73
\issue 2
\pages 445--454
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\crossref{https://doi.org/10.1070/SM1992v073n02ABEH002554}
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\zmath{https://zbmath.org/?q=an:0774.20023|0743.20035}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..73..445R}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:475
    Russian version PDF:141
    English version PDF:10
    References:69
    First page:1
     
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