15 citations · 24 across the 16 of their papers we have counts for
20 papers
On the measure of definable sets in profinite groups
Martina Conte, Matteo Vannacci
We study the (Haar) measure of verbal sets in profinite groups, and especially in free profinite groups. Relating the measure of a verbal set with the width of the corresponding wo…
Uncountably many local isomorphism types of compactly generated simple groups
Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena +7
A major open question in the theory of locally compact groups is the following. Let be the class of non-discrete compactly generated totally disconnected locally comp…
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…
Engel probability in wreath products of -groups
Iker de las Heras, Tommaso Toti, Matteo Vannacci
We give upper and lower bounds for the number of solutions of the equation in the group , where is the -th Engel word and $g\in…
On subgroup growth of iterated wreath products in product action
Matteo Vannacci
We show that there are hereditarily just infinite groups of any subgroup growth type between and . This is obtained calculating the subgroup growth type of a family…
On probabilistic identities and coset identities in pro- groups
Steffen Kionke, Nowras Otmen, Tommaso Toti +2
It is shown that a probabilistic identity on a -compact -analytic group , a non-archimedean local field, is a coset identity. As an application, one concludes that com…