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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 439–459
DOI: https://doi.org/10.33048/semi.2022.19.039 (Mi semr1514) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On the collection process for positive words

V. M. Leontiev

Siberian Federal University, 79, Svobodny ave., Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.039
Abstract: We present an approach to studying the divisibility of the exponents of the commutators that arise in collection formulas obtained for positive words of a free group. It deals with logical formulas that establish a connection between the exponents of the commutators and the structure of the positive word to which the collection process is applied. Using our approach, we obtain several generalizations of known collection formulas with some divisibility properties of the exponents.
Keywords: commutator, collection formula, free group, divisibility.
Funding agency Grant number
Russian Science Foundation 22-21-00733
This work is supported by Russian Science Foundation, project No. 22-21-00733.
Received April 6, 2022, published August 19, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20F12
Language: English
Citation: V. M. Leontiev, “On the collection process for positive words”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 439–459
Citation in format AMSBIB
\Bibitem{Leo22}
\by V.~M.~Leontiev
\paper On the collection process for positive words
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 439--459
\mathnet{http://mi.mathnet.ru/semr1514}
\crossref{https://doi.org/10.33048/semi.2022.19.039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4478140}
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