Decision problems and profinite completions of groups

We consider pairs of finitely presented, residually finite groups $P\hookrightarrow\G$ for which the induced map of profinite completions $\hat P\to \hat\G$ is an isomorphism. We prove that there is no algorithm that, given an arbitrary such pair, can determine whether or not $P$ is isomorphic to $\...

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Hlavní autor: Bridson, M
Médium: Journal article
Jazyk:English
Vydáno: 2008