Ol’shanskij, A. Yu. Economical embeddings of countable groups. (English. Russian original) Zbl 0711.20017 Mosc. Univ. Math. Bull. 44, No. 2, 39-49 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 2, 28-34 (1989). It is proved that any finite or countable group H can be imbedded into some simple 2-generated group G in such a way that any subgroup of G is either conjugated with some subgroup of H or cyclic or (if H contains involutions) dihedral. Reviewer: I.P.Shestakov Cited in 1 Document MSC: 20E22 Extensions, wreath products, and other compositions of groups 20E07 Subgroup theorems; subgroup growth 20E32 Simple groups 20F05 Generators, relations, and presentations of groups 20E15 Chains and lattices of subgroups, subnormal subgroups 20F50 Periodic groups; locally finite groups Keywords:countable group; simple 2-generated group PDFBibTeX XMLCite \textit{A. Yu. Ol'shanskij}, Mosc. Univ. Math. Bull. 44, No. 2, 39--49 (1989; Zbl 0711.20017); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 2, 28--34 (1989)