The Magnus embedding as a special case of a homological construction.

DOI10.1007/s11006-006-0058-yzbMath1150.20036OpenAlexW2369442688MaRDI QIDQ881031

Yu. V. Kuz'min

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0058-y

zbMATH Keywords

relation modulesextensions of modulesfree Abelian extensionsfree splitting extensionsMagnus embeddings

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (3)

Decomposition of a group over an abelian normal subgroup ⋮ Nonsplit extensions of Abelian p-groups by L 2(p n ) and general theorems on extensions of finite groups ⋮ Divisible rigid groups. Algebraic closedness and elementary theory

Cites Work

• Cohomology theory of groups with a single defining relation
• Homology theory of free abelianized extensions
• Note on a theorem of Magnus
• Unnamed Item

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