Joao Azevedo

activity

20202022

most citedOn finiteness of some verbal subgroups in profinite groups

4 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.GR2022★ 2 cited

Compact groups with high commuting probability of monothetic subgroups

João Azevedo, Pavel Shumyatsky

If $H$ is a subgroup of a compact group $G$ , the probability that a random element of $H$ commutes with a random element of $G$ is denoted by $P r (H, G)$ . Let $⟨ g ⟩$ stan…

math.GR2021

Compact groups with probabilistically central monothetic subgroups

João Azevedo, Pavel Shumyatsky

If $K$ is a closed subgroup of a compact group $G$ , the probability that randomly chosen pair of elements from $K$ and $G$ commute is denoted by $P r (K, G)$ . Say that a subgroup $K\l…

math.GR2020★ 4 cited

On finiteness of some verbal subgroups in profinite groups

João Azevedo, Pavel Shumyatsky

Given a group word $w$ and a group $G$ , the set of $w$ -values in $G$ is denoted by $G_{w}$ and the verbal subgroup $w (G)$ is the one generated by $G_{w}$ . In the present paper we consi…

math.GR2020

On finiteness of verbal subgroups

João Azevedo, Pavel Shumyatsky

Given a group-word $w$ and a group $G$ , the set of $w$ -values in $G$ is denoted by $G_{w}$ and the verbal subgroup $w (G)$ is the one generated by $G_{w}$ . The word $w$ is concise if $w…