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Matematicheskie Zametki, 2002, Volume 72, Issue 3, Pages 330–337
DOI: https://doi.org/10.4213/mzm425 (Mi mzm425) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some Properties of Periodic Words

V. S. Guba

Vologda State Pedagogical University
Full-text PDF (179 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm425
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.
Received: 19.11.1998
Revised: 10.09.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 3, Pages 301–307
DOI: https://doi.org/10.1023/A:1020539118744
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: V. S. Guba, “Some Properties of Periodic Words”, Mat. Zametki, 72:3 (2002), 330–337; Math. Notes, 72:3 (2002), 301–307
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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