On embeddings of countable generalized soluble groups into two-generated groups

DOI10.1006/jabr.2002.9047zbMath1006.20026OpenAlexW2074403691MaRDI QIDQ1602009

Vahagn H. Mikaelian

Publication date: 5 March 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2002.9047

zbMATH Keywords

subnormal subgroupscountable groupstwo-generator groupsorder preserving embeddingsSI*-groupsSN*-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) Ordered groups (group-theoretic aspects) (20F60)

Related Items (7)

Metabelian varieties of groups and wreath products of Abelian groups. ⋮ A problem from the Kourovka Notebook on embeddings of the group \(\mathbb Q\). ⋮ Varieties generated by wreath products of Abelian groups. ⋮ Embeddings determined by universal words in the rank 2 free group ⋮ ON FINITELY GENERATED SOLUBLE NON-HOPFIAN GROUPS, AN APPLICATION TO A PROBLEM OF NEUMANN ⋮ On finitely generated soluble non-Hopfian groups. ⋮ An Embedding Construction for Ordered Groups

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