1 citations · 1 across the 8 of their papers we have counts for
11 papers · 1 filter
Additive subgroups of Q: logarithmic description and intersection configurations
Jordi Delgado, Antoni Massegú, Enric Ventura
We develop a logarithmic framework to study the lattice of subgroups of the additive group of rational numbers. By encoding positive rationals via their prime exponent sequences, o…
Autòmats de Stallings, un camí d'anada i tornada
Jordi Delgado, Enric Ventura
In this paper we review some of the fundamental properties of the free group and give a detailed account of Stallings's theory of automata, a geometric interpretation of its subgro…
A list of applications of Stallings automata
Jordi Delgado, Enric Ventura
This survey is intended to be a fast (and reasonably updated) reference for the theory of Stallings automata and its applications to the study of subgroups of the free group, with…
Intersection configurations in free and free times free-abelian groups
Jordi Delgado, Mallika Roy, Enric Ventura
In this paper we study intersection configurations -- which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability -- in the rea…
Relative order and spectrum in free and related groups
Jordi Delgado, Enric Ventura, Alexander Zakharov
In this paper, we consider a natural generalization of the concept of order of an element in a group: an element is said to have order in a subgroup of (\resp…
Stallings automata for free-times-abelian groups: intersections and index
Jordi Delgado, Enric Ventura
We extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups: after introducing enriched automata (i.e.,…