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Algebra i Analiz, 2007, Volume 19, Issue 2, Pages 74–85 (Mi aa113)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

Automorphisms of a free group of infinite rank

C. K. Guptaa, W. Hołubowskib

a Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
b Institute of Mathematics, Silesian University of Technology, Gliwice, Poland
Full-text PDF (158 kB) Citations (3)
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Abstract: The problem of classifying the automorphisms of a free group of infinite countable rank is investigated. Quite a reasonable generating set for the group $\mathrm{Aut}F_{\infty}$ is described. Some new subgroups of this group and structural results for them are presented. The main result says that the group of all automorphisms is generated (modulo the $IA$-automorphisms) by strings and lower triangular automorphisms.
Keywords: Free group of infinite rank, automorphism group, string.
Received: 19.06.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 2, Pages 215–223
DOI: https://doi.org/10.1090/S1061-0022-08-00994-1
Bibliographic databases:
Document Type: Article
MSC: 20E05
Language: English
Citation: C. K. Gupta, W. Hołubowski, “Automorphisms of a free group of infinite rank”, Algebra i Analiz, 19:2 (2007), 74–85; St. Petersburg Math. J., 19:2 (2008), 215–223
Citation in format AMSBIB
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\by C.~K.~Gupta, W.~Ho\l ubowski
\paper Automorphisms of a~free group of infinite rank
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 2
\pages 74--85
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\zmath{https://zbmath.org/?q=an:1158.20009}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 2
\pages 215--223
\crossref{https://doi.org/10.1090/S1061-0022-08-00994-1}
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  • https://www.mathnet.ru/eng/aa/v19/i2/p74
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :121
    References:60
    First page:5
     
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