Residual finiteness with respect to conjugacy of free polynilpotent groups
Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 299-323
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SM_1985_50_2_a1,
author = {Yu. A. Kolmakov},
title = {Residual finiteness with respect to conjugacy of free polynilpotent groups},
journal = {Sbornik. Mathematics},
pages = {299--323},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_50_2_a1/}
}
Yu. A. Kolmakov. Residual finiteness with respect to conjugacy of free polynilpotent groups. Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 299-323. http://geodesic.mathdoc.fr/item/SM_1985_50_2_a1/