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On the isolated points in the space of groups☆

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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Archive ouverte UNIGE

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Last time updated on 17/11/2016

This paper was published in Archive ouverte UNIGE.

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