3 citations · 6 across the 6 of their papers we have counts for
3 papers · 2 filters
GGS-groups: order of congruence quotients and Hausdorff dimension
Gustavo A. Fernández-Alcober, Amaia Zugadi-Reizabal
If G is a GGS-group defined over a p-adic tree, where p is an odd prime, we calculate the order of the congruence quotients $G_n=G/\Stab_G(n)$ for every n. If G is defined by the v…
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…
A focal subgroup theorem for outer commutator words
Cristina Acciarri, Gustavo A. Fernández-Alcober, Pavel Shumyatsky
Let be a finite group of order , where is a prime and is not divisible by , and let be a Sylow -subgroup of . If is an outer commutator word, we…