Automorphisms of Abelian group extensions.

DOI10.1016/J.JALGEBRA.2010.03.029zbMath1209.20021arXiv0911.4250OpenAlexW2051680489MaRDI QIDQ994286

Manoj K. Yadav, Mahender Singh, Inder Bir Singh Passi

Publication date: 17 September 2010

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

Full work available at URL: https://arxiv.org/abs/0911.4250

zbMATH Keywords

split extensionsautomorphisms of groupscohomology of groupsAbelian extensionsliftings of automorphisms

Mathematics Subject Classification ID

Cohomology of groups (20J06) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (16)

Extensions and automorphisms of Lie algebras ⋮ Automorphisms of abelian Lie ring extensions ⋮ Unnamed Item ⋮ Automorphisms of pure braid groups ⋮ Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ Cohomology, extensions and automorphisms of skew braces ⋮ Local symmetry groups for arbitrary wavevectors ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ Endomorphisms in short exact sequences ⋮ The Wells exact sequence for the automorphism group of a Lie ring extension ⋮ Wells sequences for abelian extensions of Lie coalgebras ⋮ The Wells map for abelian extensions of 3-Lie algebras ⋮ Derivation Lie algebras of semidirect sums ⋮ On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras ⋮ Exact sequences in the cohomology of a Lie superalgebra extension

Cites Work

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• Automorphisms of extra special groups and nonvanishing degree 2 cohomology
• On commuting automorphisms of groups
• Automorphisms of groups.
• Automorphisms of a \(p\)-group
• Automorphism Groups of Isoclinic p -Groups
• Automorphisms of Group Extensions
• The classification of prime-power groups.

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