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arXiv · 2605.28310

Polycyclic groups and profinite isomorphism

Dan Segal
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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.

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Dan Segal. 2026-05-27. Polycyclic groups and profinite isomorphism. https://arxiv.org/abs/2605.28310

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