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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 166–181 (Mi semr60)  

This article is cited in 1 scientific paper (total in 1 paper)

Research papers

Overlap-free words and free Burnside semigroup with two generators satisfying $x^2=x^3$.

A. N. Plyushchenko

Ural State University
Full-text PDF (808 kB) Citations (1)
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Abstract: In this paper we consider the free Burnside semigroup with two generators satisfying $x^2=x^3$. Elements of this semigroup are classes of equivalent words. We prove that each such equivalence class contains at most one overlap-free word.
Keywords: group, Burnside semigroup, overlap-free word.
Received September 12, 2007, published June 29, 2009
Bibliographic databases:
Document Type: Article
UDC: 512.31
MSC: 68R15
Language: Russian
Citation: A. N. Plyushchenko, “Overlap-free words and free Burnside semigroup with two generators satisfying $x^2=x^3$.”, Sib. Èlektron. Mat. Izv., 6 (2009), 166–181
Citation in format AMSBIB
\Bibitem{Ply09}
\by A.~N.~Plyushchenko
\paper Overlap-free words and free Burnside semigroup with two generators satisfying $x^2=x^3$.
\jour Sib. \`Elektron. Mat. Izv.
\yr 2009
\vol 6
\pages 166--181
\mathnet{http://mi.mathnet.ru/semr60}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586683}
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  • https://www.mathnet.ru/eng/semr60
  • https://www.mathnet.ru/eng/semr/v6/p166
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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