On the isolated points in the space of groups
classification
🧮 math.GR
keywords
groupsisolatedpointsspacecharacterizationconnectiondiscussexamples
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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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