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Systems of equations in free groups approximating in the class of finite abelian groups of $s$-periodic permutations of the natural series
Sumaryuk Mykhailo Illich 1,2
1 Institute of Postgraduate Pedagogical Education of Chernivtsi Region, Chernivtsi, 58000, Ukraine
2 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: abelian groups, $s$-periodic permutations of the natural series
Abstract
The sufficient conditions of approximating of the non-singular equations system over a free group of finite or countable rank in the class of finite abelian groups of $s$-periodie permutations of natural numbers are considered in the article.
References

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[2] Grigorchuk R.I. Some questions of group theory related to geometry / Grigorchuk R.I., Kurchanov P.F. / / Results of science and technology, Modern problems of matem.  Fundam. directions.  - 1990.  - 58.- P.  191-256

[3] Adyan S.I. Algorithmic problems for groups and semigroups / Adyan S.I., Durnev V.G.// Uspekhi mat. nauk.  - 2000.  - Т.  55, vol. 2(332).  - P.  3-94. 

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[5] Noskov P.A. Infinite groups / Noskov P.A., Remeslennikov V.H., Romankov V.A. / Algebra, topology, geometry.  - M.: VINITI.  - 1979.- Т.  17.  - P.  65-157.

Cite
ACS Style
Sumaryuk, M.I. Systems of equations in free groups approximating in the class of finite abelian groups of $s$-periodic permutations of the natural series. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Sumaryuk MI. Systems of equations in free groups approximating in the class of finite abelian groups of $s$-periodic permutations of the natural series. Bukovinian Mathematical Journal. 2018; 1(4).
Chicago/Turabian Style
Mykhailo Illich Sumaryuk. 2018. "Systems of equations in free groups approximating in the class of finite abelian groups of $s$-periodic permutations of the natural series". Bukovinian Mathematical Journal. 1 no. 4.
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