Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 60–62 (Mi vmumm4355)  
This article is cited in 2 scientific papers (total in 2 papers)

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A new formulation of a criterion for the minimal logarithmic growth rate

S. A. Komkov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (296 kB) Citations (2)
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Abstract: A new formulation of a criterion of minimal logarithmic growth rate for an arbitrary finite set with a set of operations defined on it is obtained. It turns out that a finite set with operations has the minimal logarithmic growth rate if and only if the set of operation is not contained in any maximal class differing from autodual functions and functions preserving any subset.
Key words: growth rate, generating sets, finite sets.
Received: 27.11.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 5, Pages 220–221
DOI: https://doi.org/10.3103/S0027132220050046
Bibliographic databases:
Document Type: Article
UDC: 519.157
Language: Russian
Citation: S. A. Komkov, “A new formulation of a criterion for the minimal logarithmic growth rate”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5, 60–62; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 220–221
Citation in format AMSBIB
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