Geodesic
The Magnus embedding as a~special case of a~homological construction
Matematičeskie zametki, Tome 79 (2006) no. 4, pp. 571-576

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Let $E$ be a group extension with Abelian kernel. Then it can be assigned an extension $E'$ of modules over the group ring of the quotient group. As a consequence, an embedding of the initial extension in some splitting extension arises. We prove that the celebrated Magnus embedding is a special case of this general construction. 
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     author = {Yu. V. Kuz'min},
     title = {The {Magnus} embedding as a~special case of a~homological construction},
     journal = {Matemati\v{c}eskie zametki},
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Yu. V. Kuz'min. The Magnus embedding as a~special case of a~homological construction. Matematičeskie zametki, Tome 79 (2006) no. 4, pp. 571-576. http://geodesic.mathdoc.fr/item/MZM_2006_79_4_a7/