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Mathematics of the USSR-Sbornik, 1985, Volume 50, Issue 2, Pages 299–323
DOI: https://doi.org/10.1070/SM1985v050n02ABEH002831
(Mi sm2297)
 

Residual finiteness with respect to conjugacy of free polynilpotent groups

Yu. A. Kolmakov
References:
Abstract: In this paper conditions are obtained for the residual finiteness with respect to conjugacy of groups of the form $F/R_k$, where $F$ is a free group, $R\triangleleft F$, and $R_k$ is the $k$th term of the lower central series of $R$. It is shown that free polynilpotent groups are residually finite with respect to conjugacy.
The proof utilizes an embedding of groups of the form $F/R_k$ into a twisted wreath product of simpler groups. Properties of this embedding are also studied.
Bibliography: 12 titles.
Received: 21.12.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 122(164), Number 3(11), Pages 313–340
Bibliographic databases:
UDC: 519.4
MSC: Primary 20E26, 20E05, 20F18; Secondary 20E22
Language: English
Original paper language: Russian
Citation: Yu. A. Kolmakov, “Residual finiteness with respect to conjugacy of free polynilpotent groups”, Mat. Sb. (N.S.), 122(164):3(11) (1983), 313–340; Math. USSR-Sb., 50:2 (1985), 299–323
Citation in format AMSBIB
\Bibitem{Kol83}
\by Yu.~A.~Kolmakov
\paper Residual finiteness with respect to conjugacy of free polynilpotent groups
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 122(164)
\issue 3(11)
\pages 313--340
\mathnet{http://mi.mathnet.ru/sm2297}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721392}
\zmath{https://zbmath.org/?q=an:0555.20022|0536.20017}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 2
\pages 299--323
\crossref{https://doi.org/10.1070/SM1985v050n02ABEH002831}
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    Abstract page:231
    Russian version PDF:81
    English version PDF:12
    References:32
     
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