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Algebra Logika, 2016, Volume 55, Number 6, Pages 670–703 (Mi al770)  

This article is cited in 2 scientific papers (total in 2 papers)

Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group

V. G. Bardakovabcd, M. V. Neshchadimab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
c Novosibirsk State Agrarian University, ul. Dobrolyubova 160, Novosibirsk, 630039 Russia
d Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454001 Russia

Abstract: We study some subgroups of the automorphism group of a free group, their factorizations into a semidirect product, automorphism groups, and adjoint Lie algebras.

Keywords: free group, automorphism group, Lie algebra.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-00513
14-01-00014
15-01-00745
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
Supported by RFBR (projects No. 13-01-00513, 14-01-00014, and 15-01-0745) and by Laboratory of Quantum Topology, Chelyabinsk State University (RF Government grant No. 14.Z50.31.0020).


DOI: https://doi.org/10.17377/alglog.2016.55.602

Full text: PDF file (249 kB)
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English version:
Algebra and Logic, 2017, 55:6, 436–460

Bibliographic databases:

UDC: 512.7
Received: 13.06.2015
Revised: 15.10.2015

Citation: V. G. Bardakov, M. V. Neshchadim, “Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group”, Algebra Logika, 55:6 (2016), 670–703; Algebra and Logic, 55:6 (2017), 436–460

Citation in format AMSBIB
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\by V.~G.~Bardakov, M.~V.~Neshchadim
\paper Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group
\jour Algebra Logika
\yr 2016
\vol 55
\issue 6
\pages 670--703
\mathnet{http://mi.mathnet.ru/al770}
\crossref{https://doi.org/10.17377/alglog.2016.55.602}
\transl
\jour Algebra and Logic
\yr 2017
\vol 55
\issue 6
\pages 436--460
\crossref{https://doi.org/10.1007/s10469-017-9417-x}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. C. E. Kofinas, “On certain subgroups of the McCool group”, Int. J. Algebr. Comput., 30:5 (2020), 1081–1096  crossref  mathscinet  zmath  isi  scopus
    2. C. E. Kofinas, V. Metaftsis, A. I. Papistas, “Ia-automorphisms and Lie algebras related to the McCool group”, J. Algebra, 542 (2020), 162–189  crossref  mathscinet  zmath  isi  scopus
  • Алгебра и логика Algebra and Logic
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