  For an arbitrary countable group G = <A|R> given by its generators A and
defining relations R we discuss a specific method for embedding of G into a
certain 2-generator group T. Our embedding explicitly lists the images of
generators from A in the group T, and from the relations R it explicitly
deduces defining relations for T inheriting certain special features from R.
The obtained method can be used in constructions of explicit embeddings of
recursive groups into finitely presented groups.
