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Meždunarodnyj naučno-issledovatel'skij žurnal, 2019, , Issue 6(84), Pages 15–18
DOI: https://doi.org/10.23670/IRJ.2019.84.6.003 (Mi irj541) 		 
PHYSICS AND MATHEMATICS

Symmetric group and its genetic code

V. A. Kazinets

Pacific National University, Khabarovsk
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DOI: https://doi.org/10.23670/IRJ.2019.84.6.003
Abstract: The article contains the description of the genetic code of the symmetric group. A new approach to the construction of the genetic codes of the symmetric group is proposed. Based on this approach, an unambiguous representation of the elements of the group in the form of a product of cycles is obtained. Using this representation, we studied some properties of the Sn group. The representation of the elements of the group as a monomial allows constructing orthogonal bases in the space of complex-valued functions on the group.
Keywords: Symmetric group, genetic code, subgroups.
Document Type: Article
Language: Russian
Citation: V. A. Kazinets, “Symmetric group and its genetic code”, Meždunar. nauč.-issled. žurn., 2019, no. 6(84), 15–18
Citation in format AMSBIB
\Bibitem{Kaz19}
\by V.~A.~Kazinets
\paper Symmetric group and its genetic code
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2019
\issue 6(84)
\pages 15--18
\mathnet{http://mi.mathnet.ru/irj541}
\crossref{https://doi.org/10.23670/IRJ.2019.84.6.003}
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