Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\)

DOI10.1016/S0022-4049(03)00065-3zbMath1027.19002MaRDI QIDQ1410959

Manuel Ladra Gonzalez, Alfredo R-Grandjeán, Daniel Arias

Publication date: 15 October 2003

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

zbMATH Keywords

universal central extensionHopf formulaprecrossed module

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Nonabelian homological algebra (category-theoretic aspects) (18G50) Miscellaneous applications of (K)-theory (19M05) Central extensions and Schur multipliers (19C09)

Related Items (6)

Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications ⋮ On universal central extensions of precrossed and crossed modules ⋮ Universal central extensions of Lie crossed modules over a fixed Lie algebra ⋮ Universal central extensions in semi-abelian categories ⋮ A non-abelian tensor product of precrossed modules in lie algebras ⋮ Ganea Term for the Homology of Precrossed Modules

Cites Work

• Unnamed Item
• Unnamed Item
• Quelques propriétés homologiques des modules précroisés. (Some homological properties of precrossed modules)
• The central series for Peiffer commutators in groups with operators
• Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
• Van Kampen theorems for diagrams of spaces
• Multirelative algebraic K-theory: The group \(K_ 2(\Lambda;I_ 1,\dots ,I_ n)\) and related computations
• Cohomologie et groupe de Steinberg rélatifs
• The relativization of \(K_2\)
• The low-dimensional homology of crossed modules
• More about homological properties of precrossed modules
• Homology of precrossed modules
• Relativizing functors on rings and algebraic K-theory
• H₂(T, G, ∂) and central extensions for crossed modules
• Introduction to Algebraic K-Theory. (AM-72)
• Excision in algebraic \(K\)-theory
• (Co)Homology of crossed modules

This page was built for publication: Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\)