Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 377–381 (Mi semr362)  
This article is cited in 1 scientific paper (total in 1 paper)

Discrete mathematics and mathematical cybernetics

Fine and Wilf’s theorem for permutations

A. È. Frid

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: We try to extend to permutations the famous Fine and Wilf’s theorem valid for words and see that it is possible to do it only partially: the theorem is valid for coprime periods, but if the periods are not coprime, there is another statement valid instead.
Keywords: Fine and Wilf’s theorem, periodicity, permutations, infinite permutations.
Received July 10, 2012, published August 22, 2012
Document Type: Article
UDC: 519.101
MSC: 05A05
Language: English
Citation: A. È. Frid, “Fine and Wilf’s theorem for permutations”, Sib. Èlektron. Mat. Izv., 9 (2012), 377–381
Citation in format AMSBIB
\Bibitem{Fri12}
\by A.~\`E.~Frid
\paper Fine and Wilf’s theorem for permutations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2012
\vol 9
\pages 377--381
\mathnet{http://mi.mathnet.ru/semr362}
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  • https://www.mathnet.ru/eng/semr/v9/p377
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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