On the isolated points in the space of groups

Yves de Cornulier, Luc Guyot, Wolfgang Pitsch

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31 Citations (Scopus)


We investigate the isolated points in the space of finitely generated groups. We give a workable characterization of isolated groups and study their hereditary properties. Various examples of groups are shown to yield isolated groups. We also discuss a connection between isolated groups and solvability of the word problem. © 2006 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)254-277
JournalJournal of Algebra
Issue number1
Publication statusPublished - 1 Jan 2007


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