5 papers
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…
Twisted conjugacy in
Oorna Mitra, Mallika Roy, Enric Ventura
In this article, we solve the twisted conjugacy problem for solvable Baumslag--Solitar groups , i.e., we propose an algorithm which, given two elements a…
Quotient-saturated groups
Jordi Delgado, Mallika Roy, Enric Ventura
We introduce the new notion of quotient-saturation as a measure of the immensity of the quotient structure of a group. We present a sufficient condition for a finitely presented gr…
Stallings automata
Jordi Delgado, Enric Ventura
This text aims to provide a self-contained, comprehensive, and reasonably detailed presentation of the theory of Stallings automata and some of its main applications.
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…