Polycyclic groups and profinite isomorphism
群论
2026-05-29 v2
摘要
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.
引用
@article{arxiv.2605.28310,
title = {Polycyclic groups and profinite isomorphism},
author = {Dan Segal},
journal= {arXiv preprint arXiv:2605.28310},
year = {2026}
}