The Wells exact sequence for the automorphism group of a group extension.

DOI10.1016/j.jalgebra.2010.04.034zbMath1211.20044OpenAlexW2083199747MaRDI QIDQ615817

Ping Jin, He Guo Liu

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.034

zbMATH Keywords

derivationsautomorphisms of groupsgroup extensionsWells map

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (12)

Extensions and automorphisms of Lie algebras ⋮ The automorphism groups of the profinite braid groups ⋮ Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ Cohomology, extensions and automorphisms of skew braces ⋮ Extensions and automorphisms of Rota-Baxter groups ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ The Wells exact sequence for the automorphism group of a Lie ring extension ⋮ On the cohomology of finite soluble groups. ⋮ Wells sequences for abelian extensions of Lie coalgebras ⋮ The Wells map for abelian extensions of 3-Lie algebras ⋮ On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras

Cites Work

• Unnamed Item
• Extensions realising a faithful abstract kernel and their automorphisms
• Group extensions and automorphism group rings.
• The (outer) automorphism group of a group extension.
• Automorphisms of groups.
• Saturated fusion systems over $2$-groups
• Deforming homotopy equivalences to homeomorphisms in aspherical manifolds
• Automorphism Groups of Isoclinic p -Groups
• Automorphisms of Group Extensions

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