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. © 2006 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 254-277 |
Journal | Journal of Algebra |
Volume | 307 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2007 |