Abstract
In this paper we establish some subnormal embeddings of groups into groups with additional properties; in particular embeddings of countable groups into 2-generated groups with some extra properties. The results ob- tained are generalizations of theorems of P. Hall, R. Dark, B. Neumann, Hanna Neumann, G. Higman on embeddings of that type. Considering subnormal em- beddings of finite groups into finite groups with additional properties we bring some illustration to a result of H. Heineken and J. Lennox.
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