3 citations · 3 across the 3 of their papers we have counts for
6 papers
-Basilica groups
Elena Di Domenico, Gustavo A. Fernández-Alcober, Marialaura Noce +1
We consider a generalisation of the Basilica group to all odd primes: the -Basilica groups acting on the -adic tree. We show that the -Basilica groups have the -congrue…
Engel elements in weakly branch groups
Gustavo A. Fernández-Alcober, Marialaura Noce, Gareth M. Tracey
We study properties of Engel elements in weakly branch groups, lying in the group of automorphisms of a spherically homogeneous rooted tree. More precisely, we prove that the set o…
Beauville -groups of wild type and groups of maximal class
Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül +1
Let be a Beauville finite -group. If exhibits a `good behaviour' with respect to taking powers, then every lift of a Beauville structure of is a Beauville struc…
Bogomolov multipliers of -groups of maximal class
Gustavo A. Fernández-Alcober, Urban Jezernik
Let be a -group of maximal class and order . We determine whether or not the Bogomolov multiplier is trivial in terms of the lower central series of and $P…
On the congruence subgroup property for GGS-groups
Gustavo A. Fernández-Alcober, Alejandra Garrido, Jone Uria-Albizuri
We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime , many examples of finitely generated,…
Positive laws on generators in powerful pro-p groups
Cristina Acciarri, Gustavo A. Fernández-Alcober
If G is a finitely generated powerful pro-p group satisfying a certain law v=1, and if G can be generated by a normal subset T of finite width which satisfies a positive law, we pr…