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On normal verbal embeddings of groups

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Publication:1580385
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DOI10.1007/BF02677503zbMath0953.20017MaRDI QIDQ1580385

Vahagn H. Mikaelian, Hermann Heineken

Publication date: 14 September 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

symmetric groupsgroupsnormal subgroupsAbelian groupsembeddingsnilpotent groupsverbal subgroups


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28) Quasivarieties and varieties of groups (20E10)


Related Items (6)

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. ⋮ On finitely generated soluble non-Hopfian groups. ⋮ An Embedding Construction for Ordered Groups ⋮ On embeddings of countable generalized soluble groups into two-generated groups




Cites Work

  • The subnormal embedding of complete groups
  • On a Theorem of Holder
  • Normal embeddings of p-groups into p-groups
  • Subnormal Embedding Theorems for Groups
  • On Subnormal Embedding Theorems for Groups
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