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The A-core and A-cover of a group
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 321, no 2, 631-666 p.Article in journal (Refereed) Published
Abstract [en]

This paper provides a comprehensive investigation of the cellular approximation functor cell(A) 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 H-2(G, Z). Our constructions are direct and are given in a slow and detailed manner.

Place, publisher, year, edition, pages
2009. Vol. 321, no 2, 631-666 p.
Keyword [en]
A-generation, A-constructibility, A-injection, A-cellular cover, Central extensions, Schur multiplier, equivalences
URN: urn:nbn:se:kth:diva-18108DOI: 10.1016/j.jalgebra.2008.09.022ISI: 000262552300016ScopusID: 2-s2.0-57349182507OAI: diva2:336154
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2010-12-17Bibliographically approved

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Chacholski, Wojciech
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