The A-core and A-cover of a group

W. Chachólski, E. Damian, E. D. Farjoun, Y. Segev

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


This paper provides a comprehensive investigation of the cellular approximation functor cellA G, in the category of groups, approximating a group G by a group A. We also study related notions such as A-injection, A-generation and A-constructibility of a group G and we find several interesting connections with the Schur multiplier H2 (G, Z). Our constructions are direct and are given in a slow and detailed manner.

Original languageEnglish
Pages (from-to)631-666
Number of pages36
JournalJournal of Algebra
Issue number2
StatePublished - 15 Jan 2009


  • A-cellular cover
  • A-constructibility
  • A-generation
  • A-injection
  • Central extensions
  • Schur multiplier

ASJC Scopus subject areas

  • Algebra and Number Theory


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