Now showing items 1-5 of 5

  • A description of auto-fixed subgroups in a free group 

    Martino, Armando; Ventura Capell, Enric (2004-06)
    Article
    Open Access
    Let F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and ...
  • 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 ...
  • On automorphism-fixed subgroups of a free group 

    Martino, Armando; Ventura Capell, Enric (2000-08)
    Article
    Open Access
    Let F be a flnitely generated free group, and let n denote its rank. A subgroup H of F is said to be automorphism-flxed, or auto-flxed for short, if there exists a set S of automorphisms of F such that H is precisely the ...
  • On two distributions of subgroups of free groups 

    Bassino, Frédérique; Martino, Armando; Nicaud, Cyril; Ventura Capell, Enric; Weil, Pascal (Society for Industrial and Applied Mathematics, 2010)
    Conference report
    Restricted access - publisher's policy
    We study and compare two natural distributions of finitely generated subgroups of free groups. One is based on the random generation of tuples of reduced words; that is the one classically used by group theorists. The ...
  • The conjugacy problem for free-by-cyclic groups 

    Martino, Armando; Ventura Capell, Enric (2004-04)
    External research report
    Open Access
    We show that the conjugacy problem is solvable in [finitely generated free]-by-cyclic groups, by using a result of O. Maslakova that one can algorithmically find generating sets for the fixed sub- groups of free group ...