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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 517, Pages 151–161 (Mi znsl7285)  
This article is cited in 1 scientific paper (total in 1 paper)

The simplest Young diagrams and groups generated by their tableaux

P. A. Pozdeev

Saint Petersburg State University
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Abstract: To study the combinatorics of Young diagrams, Anatoly Moiseevich Vershik proposed to consider groups generated by natural involutions of two-row Young tables. The definitions and the first results were described by A. M. Vershik and N. V. Tsilevich. In this paper the class of the studied diagrams is expanded and new methods for their characterization are given.
Key words and phrases: permutation groups, graded graphs, combinatorial involutions, symmetric group.
Funding agency Grant number
Russian Science Foundation 21-11-00152
Received: 02.12.2022
Bibliographic databases:
Document Type: Article
UDC: 512.542.7, 512.547
Language: Russian
Citation: P. A. Pozdeev, “The simplest Young diagrams and groups generated by their tableaux”, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Zap. Nauchn. Sem. POMI, 517, POMI, St. Petersburg, 2022, 151–161
Citation in format AMSBIB
\Bibitem{Poz22}
\by P.~A.~Pozdeev
\paper The simplest Young diagrams and groups generated by their tableaux
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 517
\pages 151--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7285}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4531901}
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  • https://www.mathnet.ru/eng/znsl/v517/p151
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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