• Commensurations and metric properties of Houghton's groups 

    Burillo Puig, José; Cleary, Sean; Martino, Armando; Röver, Claas E. (2016-12-01)
    Article
    Accés obert
    We describe the automorphism groups and the abstract commensurators of Houghton’s groups. Then we give sharp estimates for the word metric of these groups and deduce that the commensurators embed into the corresponding ...
  • Degree of commutativity of infinite groups 

    Antolin, Yago; Martino, Armando; Ventura Capell, Enric (2016-11-16)
    Article
    Accés obert
    We prove that, in a finitely generated residually finite group of subexponential growth, the proportion of commuting pairs is positive if and only if the group is virtually abelian. In particular, this covers the case where ...