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Mat. Zametki, 1985, Volume 38, Issue 4, Pages 503–516 (Mi mz5561)  

This article is cited in 18 scientific papers (total in 18 papers)

A system of defining relations for a Grigorchuk group

I. G. Lysenok


Full text: PDF file (844 kB)

English version:
Mathematical Notes, 1985, 38:4, 784–792

Bibliographic databases:

UDC: 519.4
Received: 21.02.1985

Citation: I. G. Lysenok, “A system of defining relations for a Grigorchuk group”, Mat. Zametki, 38:4 (1985), 503–516; Math. Notes, 38:4 (1985), 784–792

Citation in format AMSBIB
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\by I.~G.~Lysenok
\paper A system of defining relations for a Grigorchuk group
\jour Mat. Zametki
\yr 1985
\vol 38
\issue 4
\pages 503--516
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\transl
\jour Math. Notes
\yr 1985
\vol 38
\issue 4
\pages 784--792
\crossref{https://doi.org/10.1007/BF01158402}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985C921200016}


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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. A. V. Rozhkov, “Centralizers of elements in a group of tree automorphisms”, Russian Acad. Sci. Izv. Math., 43:3 (1994), 471–492  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. R. I. Grigorchuk, “An example of a finitely presented amenable group not belonging to the class $EG$”, Sb. Math., 189:1 (1998), 75–95  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. Proc. Steklov Inst. Math., 231 (2000), 1–41  mathnet  mathscinet  zmath
    4. E. L. Pervova, “Everywhere Dense Subgroups of One Group of Tree Automorphisms”, Proc. Steklov Inst. Math., 231 (2000), 339–350  mathnet  mathscinet  zmath
    5. Vovkivsky T., “Infinite Torsion Groups Arising as Generalizations of the Second Grigorchuk Group”, Algebra, ed. Bahturin Y., Walter de Gruyter & Co, 2000, 357–377  isi
    6. Bartholdi, L, “Parabolic subgroups and representations of branch groups”, Comptes Rendus de l Academie Des Sciences Serie i-Mathematique, 332:9 (2001), 789  crossref  isi
    7. E. L. Pervova, “The Congruence Property of AT-Groups”, Algebra and Logic, 41:5 (2002), 306–313  mathnet  crossref  mathscinet  zmath
    8. Bartholdi L., Grigorchuk R., Nekrashevych V., “From Fractal Groups to Fractal Sets”, Fractals in Graz 2001: Analysis - Dynamics - Geometry - Stochastics, Trends in Mathematics, eds. Grabner P., Woess W., Birkhauser Verlag Ag, 2003, 25–118  isi
    9. Erschler, A, “Not residually finite groups of intermediate growth, commensurability and non-geometricity”, Journal of Algebra, 272:1 (2004), 154  crossref  isi
    10. Bartholdi, L, “A NILPOTENT QUOTIENT ALGORITHM FOR CERTAIN INFINITELY PRESENTED GROUPS AND ITS APPLICATIONS”, International Journal of Algebra and Computation, 18:8 (2008), 1321  crossref  isi
    11. Proc. Steklov Inst. Math., 271 (2010), 306–321  mathnet  crossref  mathscinet  isi  elib  elib
    12. I. V. V'yugin, R. R. Gontsov, “Construction of a system of linear differential equations from a scalar equation”, Proc. Steklov Inst. Math., 271 (2010), 322–338  mathnet  crossref  mathscinet  isi  elib
    13. Funar L. Otera D.E., “On the Wgsc and Qsf Tameness Conditions for Finitely Presented Groups”, Group. Geom. Dyn., 4:3 (2010), 549–596  crossref  isi
    14. R. I. Grigorchuk, “Some topics in the dynamics of group actions on rooted trees”, Proc. Steklov Inst. Math., 273 (2011), 64–175  mathnet  crossref  mathscinet  zmath  isi  elib
    15. Hartung R., “Algorithms for Finitely l-Presented Groups and their Applications to Some Self-Similar Groups”, Expo. Math., 31:4 (2013), 368–384  crossref  isi
    16. Grigorchuk R., Leonov Y., Nekrashevych V., Sushchansky V., “Self-similar groups, automatic sequences, and unitriangular representations”, Bull. Math. Sci., 6:2 (2016), 231–285  crossref  mathscinet  zmath  isi  elib  scopus
    17. Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda, “Combinatorics of the subshift associated with Grigorchuk's group”, Proc. Steklov Inst. Math., 297 (2017), 138–144  mathnet  crossref  crossref  mathscinet  isi  elib
    18. Holt D. Rees S. Rover C., “Groups, Languages and Automata”, Groups, Languages and Automata, London Mathematical Society Student Texts, 88, Cambridge Univ Press, 2017, 1–294  crossref  mathscinet  zmath  isi
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