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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 166–181
(Mi semr60)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr60 https://www.mathnet.ru/eng/semr/v6/p166
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Abstract page: | 305 | Full-text PDF : | 91 | References: | 51 |
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