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 Mat. Sb. (N.S.), 1987, Volume 132(174), Number 1, Pages 64–72 (Mi msb1714)

Conjugacy separability of some factor groups of a free product

Yu. A. Kolmakov

Abstract: Groups of the form $F/C^{(n)}$ are studied, where $F$ is the free product of groups $B_i$, $i\in I$, and $C^{(n)}$ is the $n$th term of the derived series of the Cartesian subgroup of this product. It is proved that if every $B_i$ is conjugacy separable, residually finite with respect to occurrence in cyclic subgroups, and torsion-free, then the groups $F/C^{(n)}$ are conjugacy separable.
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English version:
Mathematics of the USSR-Sbornik, 1988, 60:1, 67–75

Bibliographic databases:

UDC: 512
MSC: 20E06, 20E26

Citation: Yu. A. Kolmakov, “Conjugacy separability of some factor groups of a free product”, Mat. Sb. (N.S.), 132(174):1 (1987), 64–72; Math. USSR-Sb., 60:1 (1988), 67–75

Citation in format AMSBIB
\Bibitem{Kol87} \by Yu.~A.~Kolmakov \paper Conjugacy separability of some factor groups of a~free product \jour Mat. Sb. (N.S.) \yr 1987 \vol 132(174) \issue 1 \pages 64--72 \mathnet{http://mi.mathnet.ru/msb1714} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=883913} \zmath{https://zbmath.org/?q=an:0655.20022|0617.20014} \transl \jour Math. USSR-Sb. \yr 1988 \vol 60 \issue 1 \pages 67--75 \crossref{https://doi.org/10.1070/SM1988v060n01ABEH003156}