Crossed n-fold extensions of groups, n-fold extensions of modules, and higher multipliers

DOI10.1016/0022-4049(85)90075-1zbMath0569.20040OpenAlexW2068101810MaRDI QIDQ1061231

Bruce Conrad

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90075-1

zbMATH Keywords

central extensionSchur multiplicatorinitial groupn-fold extensions

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (5)

Some aspects of homotopic algebra and non-abelian (co)homology theories ⋮ A family of finitep‐groups satisfying Carlson's depth conjecture ⋮ Higher Hopf formulae for homology via Galois theory ⋮ \(N\)-fold Čech derived functors and generalised Hopf type formulas ⋮ Lattice-ordered groups whose lattices of convex l-subgroups guarantee noncommutativity

Cites Work

• Unnamed Item
• An interpretation of the cohomology groups \(H^ n(G,M)\)
• Crossed \(n\)-fold extensions of groups and cohomology
• Central kernels and the homology of groups
• Cohomologie et groupe de Steinberg rélatifs
• Cohomology theory in abstract groups. II
• Crossed Extensions
• Cohomology as the Derived Functor of Derivations
• Combinatorial homotopy. II

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