Abstract
In the paper, it is proved that the cube of a simple word cannot be decomposed into the product of words with periods of smaller length. In addition, the decomposition of a simple word's square into the product of words with shorter periods is studied. The interest in this sort of statements stems from the investigation of groups and semigroups specified by periodic defining relations.
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Guba, V.S. Some Properties of Periodic Words. Mathematical Notes 72, 301–307 (2002). https://doi.org/10.1023/A:1020539118744
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DOI: https://doi.org/10.1023/A:1020539118744