4 papers · 1 filter
Virtually generating graphs of pro- groups
Yiftach Barnea, Andrea Lucchini, Margherita Piccolo +1
We study the virtually generating graph of pro- groups. We show that various classes of pro- groups have connected virtually generating graph and we bound its diameter in the…
On commensurators of free groups and free pro-p groups
Yiftach Barnea, Mikhail Ershov, Adrien Le Boudec +3
We study the commensurators of free groups and free pro- groups, as well as certain subgroups of these. We prove that the commensurator of a non-abelian free group of…
The normal growth of linear groups over formal power serieses
Yiftach Barnea, Jan-Christoph Schlage-Puchta
Put $R=\F[[t_1, \ldots, t_d]])$. We estimate the number of normal subgroups of $\mathrm{SL}_2^1(\F[[t_1, \ldots, t_d]])$ for , the number of ideals in the Lie algebra $\Lie(R)…
On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum
Yiftach Barnea, Matteo Vannacci
We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of…