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Binary words avoided by the Thue-Morse sequence

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Abstract

This paper deals with one problem concerning avoidable words. Namely, the set of words over a two-letter alphabet avoided by the Thue-Morse sequence is described. This set is a fully invariant ideal of a two-generated free semigroup, and we find its aminimal generating set.

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Authors and Affiliations

  1. Dept. Mathematics & Mechanics, Ural State University, 620083, Ekaterinburg, Russia

    A. M. Shur

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  1. A. M. Shur
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Communicated by L. N. Shevrin

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Shur, A.M. Binary words avoided by the Thue-Morse sequence. Semigroup Forum 53, 212–219 (1996). https://doi.org/10.1007/BF02574136

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  • DOI: https://doi.org/10.1007/BF02574136

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