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Residual finiteness with respect to conjugacy of free polynilpotent groups
Yu. A. Kolmakov
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
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
Linking options:
https://www.mathnet.ru/eng/sm2297https://doi.org/10.1070/SM1985v050n02ABEH002831 https://www.mathnet.ru/eng/sm/v164/i3/p313
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Abstract page: | 231 | Russian version PDF: | 81 | English version PDF: | 12 | References: | 32 |
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