This article is cited in 3 papers

The Magnus embedding as a special case of a homological construction

Yu. V. Kuz'min

Moscow State University of Railway Communications

Abstract: 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.

UDC: 512

Received: 28.10.2004

DOI: 10.4213/mzm2726

 English version: Mathematical Notes, 2006, 79:4, 528–532

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