ON FINITELY GENERATED SOLUBLE NON-HOPFIAN GROUPS, AN APPLICATION TO A PROBLEM OF NEUMANN

DOI10.1142/S0218196707004086zbMath1171.20017MaRDI QIDQ5386958

Vahagn H. Mikaelian

Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

soluble groupsfinitely generated groupsvarieties of groupsnon-Hopfian groupsembedding of groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Quasivarieties and varieties of groups (20E10)

Related Items (2)

A problem from the Kourovka Notebook on embeddings of the group \(\mathbb Q\). ⋮ Varieties generated by wreath products of Abelian groups.

Cites Work

• On embeddings of countable generalized soluble groups into two-generated groups
• On embedding properties of \(SD\)-groups.
• On some finiteness conditions for varieties of metanilpotent groups
• On a problem on explicit embeddings of the group \(\mathbb{Q}\).
• Normal embeddings of p-groups into p-groups
• An Embedding Construction for Ordered Groups
• Subnormal Embedding Theorems for Groups

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