@article{SM_1973_21_2_a2,
author = {D. I. \`Eidel'kind},
title = {On~Magnus groups},
journal = {Sbornik. Mathematics},
pages = {207--220},
year = {1973},
volume = {21},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/}
}
TY - JOUR
AU - D. I. Èidel'kind
TI - On Magnus groups
JO - Sbornik. Mathematics
PY - 1973
SP - 207
EP - 220
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/
LA - en
ID - SM_1973_21_2_a2
ER -
%0 Journal Article
%A D. I. Èidel'kind
%T On Magnus groups
%J Sbornik. Mathematics
%D 1973
%P 207-220
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/
%G en
%F SM_1973_21_2_a2
In this paper we consider groups of the form $F/V(N)$, where $V(N)$ is a verbal subgroup of a normal divisor $N$ of a group $F$, and $F$ is either free or the free product of certain groups. In the latter case we assume that $N$ is contained in the Cartesian subgroup. We prove that the factors of the lower central series of $F/V(N)$ are torsion-free or even free Abelian if the corresponding property is possessed by the factors of the lower central series of $F/N$ and $N/V(N)$. Bibliography: 7 titles.
