The strong profinite genus of a finitely presented group can be infinite
Martin R. Bridson
University of Oxford, UK
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Abstract
We construct the first examples of finitely-presented, residually-finite groups that contain an infinite sequence of non-isomorphic finitely-presented subgroups such that the inclusion maps induce isomorphisms of profinite completions .
Cite this article
Martin R. Bridson, The strong profinite genus of a finitely presented group can be infinite. J. Eur. Math. Soc. 18 (2016), no. 9, pp. 1909–1918
DOI 10.4171/JEMS/633