• Fixed subgroups are compressed in surface groups 

      Zhang, Qiang; Ventura Capell, Enric; Wu, Jianchun (2015-08-01)
      Article
      Accés obert
      For a compact surface Sigma (orientable or not, and with boundary or not), we show that the fixed subgroup, Fix B, of any family B of endomorphisms of pi(1)(Sigma) is compressed in pi(1)(Sigma), i.e. rk(Fix B) <= rk(H) for ...
    • Fixed subgroups in free groups: a survey 

      Ventura Capell, Enric (2002-03)
      Article
      Accés obert
      This note is a survey of the main results known about fixed subgroups of endomorphisms of finitely generated free groups. A historic point of view is taken, emphasizing the evolution of this line of research, from ...
    • Twisted conjugacy problem for endomorphisms of metabelian groups 

      Ventura Capell, Enric; Romankov, Vitali (Springer, 2009-03-01)
      Article
      Accés restringit per política de l'editorial
      Let M be a finitely generated metabelian group explicitly presented in a variety A2 of all metabelian groups. An algorithm is constructed which, for every endomorphism ϕ ∈ End(M) identical modulo an Abelian normal subgroup ...