24 citations · 30 across the 8 of their papers we have counts for
9 papers
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 groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups
Yiftach Barnea, Rachel Camina, Mikhail Ershov +1
Given a discrete (resp. profinite) group , we define to be the smallest number of cyclic (resp. procyclic) subgroups of whose conjugates cover . In this paper we…
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…
Large normal subgroup growth and large characteristic subgroup growth
Yiftach Barnea, Jan-Christoph Schlage-Puchta
The maximal normal subgroup growth type of a finitely generated group is . Very little is known about groups with this type of growth. In particular, the following is a…
Branch groups, orbit growth, and subgroup growth types for pro- groups
Yiftach Barnea, Jan-Christoph Schlage-Puchta
We first show that a class of pro- branch groups including the Grigorchuk group and the Gupta-Sidki groups all have subgroup growth type . We then introduce the noti…
On -deficiency in groups
Yiftach Barnea, Jan-Christoph Schlage-Puchta
Recently, Schlage-Puchta proved super multiplicity of -deficiency for normal subgroups of -power index. We extend this result to all normal subgroups of finite index. We then…
Abstract commensurators of profinite groups
Yiftach Barnea, Mikhail Ershov, Thomas Weigel
In this paper we initiate a systematic study of the abstract commensurators of profinite groups. The abstract commensurator of a profinite group is a group which depe…