Now showing items 1-2 of 2

    • Conjugacy in houghton's groups 

      Antolin, Yago; Burillo Puig, José; Martino, Armando (2015)
      Article
      Open Access
      Let n ∈ N. Houghton’s group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for ...
    • Degree of commutativity of infinite groups 

      Antolin, Yago; Martino, Armando; Ventura Capell, Enric (2016-11-16)
      Article
      Open Access
      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 ...