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Scientific article
English

On the isolated points in the space of groups☆

Published inJournal of algebra, vol. 307, no. 1, p. 254-277
Publication date2007
Abstract

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.

Citation (ISO format)
DE CORNULIER, Yves, GUYOT, Luc, PITSCH, Wolfgang. On the isolated points in the space of groups☆. In: Journal of algebra, 2007, vol. 307, n° 1, p. 254–277. doi: 10.1016/j.jalgebra.2006.02.012
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ISSN of the journal0021-8693
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