Preservation of perfectness and acyclicity: Berrick and Casacuberta's universal acyclic space localized at a set of primes

José L. Rodríguez, Jérôme Scherer, Antonio Viruel

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

In this paper we answer negatively a question posed by Casacuberta, Farjoun, and Libman about the preservation of perfect groups under localization functors. Indeed, we show that a certain P-localization of Berrick and Casacuberta's universal acyclic group is not perfect. We also investigate under which conditions perfectness is preserved: For instance, we show that if the localization of a perfect group is finite then it is perfect. © de Gruyter 2005.
Original languageEnglish
Pages (from-to)67-75
JournalForum Mathematicum
Volume17
DOIs
Publication statusPublished - 1 Jan 2005

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