Two functions from Abelian groups to perfect groups

DOI10.1016/0022-4049(87)90014-4zbMath0614.20038OpenAlexW2059699298MaRDI QIDQ1820245

A. J. Berrick

Publication date: 1987

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(87)90014-4

zbMATH Keywords

relationsgeneratorsSchur multiplierperfect groupuniversal central extensionacyclic group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Eilenberg-Mac Lane spaces (55P20)

Related Items (6)

Linear representations of binate groups ⋮ Perfect radicals and homology of group extensions ⋮ Third homology of perfect central extensions ⋮ Groups with no nontrivial linear representations ⋮ Torsion generators for all abelian groups ⋮ Binate towers of groups

Cites Work

• Characterisation of plus-constructive fibrations
• Group extensions and their trivialisation
• The topology of discrete groups
• On the integral homology of finitely presented groups
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Delooping classifying spaces in algebraic K-theory
• Perfect McLain groups are superperfect
• The Nontrivality of the Restriction Map in the Chomology of Groups
• THE PLUS-CONSTRUCTION AND FIBRATIONS
• On the equivalence of k-theories
• Characteristic Subgroups and Complete Automorphism Groups
• K 3 of a Ring is H 3 of the Steinberg Group
• Introduction to Algebraic K-Theory. (AM-72)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Two functions from Abelian groups to perfect groups