Intersection configurations in free and free times free-abelian groups
In this paper we delve into the behavior of multiple intersections of subgroups of free and free times free-abelian (FTA) groups with...
Autòmats de Stallings, un camí d'anada i tornada
En aquest article revisem algunes de les propietats fonamentals del gruplliure i fem una exposició detallada de la teoria dels autòmats...
A list of applications of Stallings automata
This survey is intended to be a fast (and reasonably updated) reference for the theory of Stallings automata and its applications to the...
Relative order and spectrum in free and related groups
We consider a natural generalization of the concept of order of an element in a group: an element $g \in G$ is said to have order $k$ in...
Stallings automata for free extensions
We generalize to extensions by free groups (G ⋊ 𝔽ₙ) the classical theory of Stallings describing subgroups of the free groups as...
On the lattice of subgroups of a free group:complements and rank
A ∨-complement of a subgroup H ⩽ Fn is a subgroup K ⩽ Fn such that H ∨ K = Fn. If we also ask K to have trivial intersection with H, then...
Stallings automata for free-times-abelian groups: intersections and index
We extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups:...
Intersection problem for Droms RAAGs
We solve the subgroup intersection problem (SIP) for any RAAG G of Droms type (i.e. with defining graph not containing induced squares or...
Algorithmic recognition of infinite cyclic extensions
We prove that one cannot algorithmically decide whether a finitely presented ℤ-extension admits a finitely generated base group, and we...
Some characterizations of Howson PC-groups
We show that, within the class of partially commutative groups, the conditions of being Howson, being fully residually free, and being a...
