Preprint
Sep 2026
Virtually generating graphs of pro-$p$ groups
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.
Y. Barnea, Andrea Lucchini, Margherita Piccolo et al.
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