The isomorphism problem for profinite completions of residually finite groups
We consider pairs of finitely presented, residually finite groups $u:P\hookrightarrow \Gamma$. We prove that there is no algorithm that, given an arbitrary such pair, can determine whether or not the associated map of profinite completions $\hat{u}: \widehat{P} \to \widehat{\Gamma}$ is an isomorphis...
Main Authors: | Bridson, M, Wilton, H |
---|---|
Format: | Journal article |
Published: |
European Mathematical Society
2014
|
Similar Items
-
Profinite isomorphisms and fixed-point properties
by: Bridson, M
Published: (2024) -
Decision problems and profinite completions of groups
by: Bridson, M
Published: (2008) -
Grothendieck's problems concerning profinite completions and representations of groups
by: Bridson, M, et al.
Published: (2004) -
The homology of groups, profinite completions, and echoes of Gilbert Baumslag
by: Bridson, MR
Published: (2020) -
Profinite completions of free-by-free groups contain everything
by: Bridson, MR
Published: (2024)