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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019, Volume 26, Number 1, Pages 8–16 (Mi vkam337)  

MATHEMATICS

Double cosets in free product

A. P. Goryshkin

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: This paper deals with problems connecting with decomposition of groups into double cosets. It is established a relation between double decomposition and usual decomposition by subgroups for groups which can be decompose into a generalized free products and groups with free complementarity of subgroups.

Keywords: group, algorithmic problem, subgroup, subgroup index, double decomposition index, double coset, free product, free complementarity of subgroups.

DOI: https://doi.org/10.26117/2079-6641-2019-26-1-8-16

Full text: PDF file (226 kB)
Full text: http://krasec.ru/Gor2019261/
References: PDF file   HTML file

UDC: 519.4
MSC: 18A32
Received: 15.02.2019

Citation: A. P. Goryshkin, “Double cosets in free product”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 26:1 (2019), 8–16

Citation in format AMSBIB
\Bibitem{Gor19}
\by A.~P.~Goryshkin
\paper Double cosets in free product
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 26
\issue 1
\pages 8--16
\mathnet{http://mi.mathnet.ru/vkam337}
\crossref{https://doi.org/10.26117/2079-6641-2019-26-1-8-16}
\elib{http://elibrary.ru/item.asp?id=38190070}


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