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Algebra i logika, 2002, Volume 41, Number 2, Pages 123–129 (Mi al175)  
This article is cited in 4 scientific papers (total in 4 papers)

Embedding the Outer Automorphism Group $\operatorname{Out}(F_n)$ of a Free Group of Rank $n$ in the Group $\operatorname{Out}(F_m)$ for $m>n$

O. V. Bogopolskii, D. V. Puga

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (508 kB) Citations (4)
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Abstract: It is proved that for every $n\geqslant1$, the group $\operatorname{Out}(F_n)$ is embedded in the group $\operatorname{Out}(F_m)$ with $m=1+(n-1)k^n$, where $k$ is an arbitrary natural number coprime to $n-1$.
Keywords: group of outer automorphisms, free group.
Received: 09.01.2000
English version:
Algebra and Logic, 2002, Volume 41, Issue 2, Pages 69–73
DOI: https://doi.org/10.1023/A:1015350112208
Bibliographic databases:
UDC: 512.543
Language: Russian
Citation: O. V. Bogopolskii, D. V. Puga, “Embedding the Outer Automorphism Group $\operatorname{Out}(F_n)$ of a Free Group of Rank $n$ in the Group $\operatorname{Out}(F_m)$ for $m>n$”, Algebra Logika, 41:2 (2002), 123–129; Algebra and Logic, 41:2 (2002), 69–73
Citation in format AMSBIB
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\by O.~V.~Bogopolskii, D.~V.~Puga
\paper Embedding the Outer Automorphism Group~$\operatorname{Out}(F_n)$ of a~Free Group of Rank~$n$ in the Group $\operatorname{Out}(F_m)$ for $m>n$
\jour Algebra Logika
\yr 2002
\vol 41
\issue 2
\pages 123--129
\mathnet{http://mi.mathnet.ru/al175}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1922984}
\zmath{https://zbmath.org/?q=an:1067.20042}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 2
\pages 69--73
\crossref{https://doi.org/10.1023/A:1015350112208}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42349095918}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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