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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 4, Pages 29–37 (Mi fpm1814)  
The problem of the power conjugacy words in a tree product of free groups with cyclic amalgamation

V. N. Bezverkhnii, E. S. Logacheva

Tula State Lev Tolstoy Pedagogical University, Tula, Russia
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Abstract: We give a positive answer to the problem of power conjugacy words in a tree product of free groups with cyclic amalgamation. It is a generalization of the well-known result obtained by S. Lipschutz for a free product of two free groups with cyclic amalgamation.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710002_р_а
The work was supported by a grant from the Russian Foundation for Basic Research No. 19-41-710002 r_a.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 257, Issue 6, Pages 765–771
DOI: https://doi.org/10.1007/s10958-021-05517-w
Document Type: Article
UDC: 519.4
Language: Russian
Citation: V. N. Bezverkhnii, E. S. Logacheva, “The problem of the power conjugacy words in a tree product of free groups with cyclic amalgamation”, Fundam. Prikl. Mat., 22:4 (2019), 29–37; J. Math. Sci., 257:6 (2021), 765–771
Citation in format AMSBIB
\Bibitem{BezLog19}
\by V.~N.~Bezverkhnii, E.~S.~Logacheva
\paper The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 4
\pages 29--37
\mathnet{http://mi.mathnet.ru/fpm1814}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 257
\issue 6
\pages 765--771
\crossref{https://doi.org/10.1007/s10958-021-05517-w}
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    		Фундаментальная и прикладная математика
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