On the isolated points in the space of groups☆

De Cornulier, Yves; Guyot, Luc; Pitsch, Wolfgang

doi:10.1016/j.jalgebra.2006.02.012

Scientific article

English

On the isolated points in the space of groups☆

ContributorsDe Cornulier, Yves; Guyot, Luc; Pitsch, Wolfgang

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.

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Published version)

Identifiers

PID : unige:9801
DOI : 10.1016/j.jalgebra.2006.02.012

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0021869306001098

Journal ISSN0021-8693

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On the isolated points in the space of groups☆

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