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arXiv · 2609.06650

Virtually generating graphs of pro-$p$ groups

Yiftach Barnea·Andrea Lucchini·Margherita Piccolo·Matteo Vannacci
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Abstract

We study the virtually generating graph of pro-$p$ groups. We show that various classes of pro-$p$ groups have connected virtually generating graph and we bound its diameter in these cases; e.g.\ compact subgroups of analytic groups over local fields and the Nottingham group.

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Yiftach Barnea, Andrea Lucchini, Margherita Piccolo, Matteo Vannacci. 2026-09-06. Virtually generating graphs of pro-$p$ groups. https://arxiv.org/abs/2609.06650

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