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On the isolated points in the space of groups☆

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De Cornulier, Yves
Published in Journal of Algebra. 2007, vol. 307, no. 1, p. 254 - 277
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.
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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. https://archive-ouverte.unige.ch/unige:9801

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Deposited on : 2010-07-30

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