Geodesic
The structure of free groups of certain varieties
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 131-145

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $F$ be a free group and $N\vartriangleleft F$. The structure of the group $G=F/[F,N']$ is studied. A description is obtained of the periodic part of $G$ in terms of the third and fourth homology groups of $B=F/N$. It is shown that, if $B$ is residually torsion-free nilpotent, the same is true for the factor group of $G$ by its periodic part. Bibliography: 9 titles. 
@article{SM_1986_53_1_a6,
     author = {Yu. V. Kuz'min},
     title = {The structure of free groups of certain varieties},
     journal = {Sbornik. Mathematics},
     pages = {131--145},
     publisher = {mathdoc},
     volume = {53},
     number = {1},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/}
}
TY  - JOUR
AU  - Yu. V. Kuz'min
TI  - The structure of free groups of certain varieties
JO  - Sbornik. Mathematics
PY  - 1986
SP  - 131
EP  - 145
VL  - 53
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/
LA  - en
ID  - SM_1986_53_1_a6
ER  - 
%0 Journal Article
%A Yu. V. Kuz'min
%T The structure of free groups of certain varieties
%J Sbornik. Mathematics
%D 1986
%P 131-145
%V 53
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/
%G en
%F SM_1986_53_1_a6
Yu. V. Kuz'min. The structure of free groups of certain varieties. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 131-145. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/