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For a countable group G = <A | R> presented by its generators A and definingrelations R we discuss a simple method to embed G into such a 2-generator groupT that the images of generators from A are explicitly given in T, and thedefining relations for T can automatically be deduced from the relations R. Theobtained method is applied on particular examples of groups, and references ofits application for embeddings of recursive groups into finitely presentedgroups are given.

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