Now showing items 1-4 of 4

    • Algebraic and algorithmic aspects of Zm × Fn : fixed subgroups and quantification of inertia 

      Roy, Mallika (Universitat Politècnica de Catalunya, 2020-02-12)
      Doctoral thesis
      Open Access
      This work is based on the family of groups Z^m x F_n, namely free-abelian times free groups, direct products of finitely many copies of Z and a finitely generated free group F_n. These are a special type of right-angled ...
    • Degrees of compression and inertia for free-abelian times free groups 

      Roy, Mallika; Ventura Capell, Enric (Elsevier, 2021-02-15)
      Article
      Open Access
      We introduce the concepts of degree of inertia, diG(H), and degree of compression,dcG(H), of a finitely generated subgroupHof a given groupG. For the case of direct productsof free-abelian and free groups, we compute the ...
    • Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups 

      Roy, Mallika; Ventura Capell, Enric (2020-04-01)
      Article
      Open Access
      The classical result by Dyer–Scott about fixed subgroups of finite order automor-phisms of Fnbeing free factors of Fn is no longer true inZm×Fn. Within this more generalcontext, we prove a relaxed version in the spirit of ...
    • Intersection configurations in free and free times free-abelian groups 

      Delgado Rodríguez, Jordi; Roy, Mallika; Ventura Capell, Enric (Cambridge University Press, 2023-09-11)
      Article
      Open Access
      In this paper, we study intersection configurations – which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability – in the realm of free and free times free-abelian ...