This article is cited in 2 papers

Applications of the Magnus embedding in the theory of varieties of groups and Lie algebras

A. N. Krasilnikov, A. L. Shmel'kin

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.543+512.554

Received: 01.04.1999

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