Geodesic
Applications of the~Magnus embedding in the~theory of varieties of groups and Lie algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 493-502.

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

We give a survey of results of the theory of varieties of groups and Lie algebras which were proved using the Magnus embedding or its generalizations (the Magnus embedding is the embedding of a group of the form $F/R'$ into the wreath product $A\operatorname{wr}F/R$, where $A$ is a free Abelian group). We exhibit short proofs of the embedding theorem as well as of the criterion for an element of the wreath product to belong to the embedded group. 
@article{FPM_1999_5_2_a7,
     author = {A. N. Krasilnikov and A. L. Shmel'kin},
     title = {Applications of {the~Magnus} embedding in the~theory of varieties of groups and {Lie} algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {493--502},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a7/}
}
TY  - JOUR
AU  - A. N. Krasilnikov
AU  - A. L. Shmel'kin
TI  - Applications of the~Magnus embedding in the~theory of varieties of groups and Lie algebras
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1999
SP  - 493
EP  - 502
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a7/
LA  - ru
ID  - FPM_1999_5_2_a7
ER  - 
%0 Journal Article
%A A. N. Krasilnikov
%A A. L. Shmel'kin
%T Applications of the~Magnus embedding in the~theory of varieties of groups and Lie algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 493-502
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a7/
%G ru
%F FPM_1999_5_2_a7
A. N. Krasilnikov; A. L. Shmel'kin. Applications of the~Magnus embedding in the~theory of varieties of groups and Lie algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 493-502. http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a7/