FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 2, PAGES 493-502
A. N. Krasilnikov
A. L. Shmelkin
Abstract
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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
$A \mathrel{wr} F/R$ ,
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.
All articles are published in Russian.
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Last modified: July 6, 1999