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Polycyclic groups and profinite isomorphism

Year: 2026
Type: preprint
Abstract: The Profinite Isomorphism Problem for a class of groups \mathcal{C} asks for an algorithm that decides for any two groups in \mathcal{C} whether they have isomorphic profinite completions. We present the positive solution to this problem for the class of virtually polycyclic groups.
Author: Segal, Dan
Language: English
Open Access status: green
OpenAlex ID: W7162626656
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