On embedding properties of \(SD\)-groups.

DOI10.1155/S0161171204211280zbMATH Open1078.20033MaRDI QIDQ1774642

Vahagn H. Mikaelian

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51919

zbMATH Keywords

embeddingssubnormal subgroupsvarieties of groupscountable groupsverbal subgroupstwo-generator groupscommutator series\(SD\)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Ordered groups (group-theoretic aspects) (20F60)

Related Items (6)

A problem from the Kourovka Notebook on embeddings of the group \(\mathbb Q\). ⋮ Varieties generated by wreath products of Abelian groups. ⋮ ON FINITELY GENERATED SOLUBLE NON-HOPFIAN GROUPS, AN APPLICATION TO A PROBLEM OF NEUMANN ⋮ On finitely generated soluble non-Hopfian groups. ⋮ A remark on the Higman–Neumann–Neumann embedding theorem ⋮ Embedding theorems for solvable groups

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