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math.GR2019
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.,…
math.GR2019
On the lattice of subgroups of a free group: complements and rank
Jordi Delgado, Pedro V. Silva
A -complement of a subgroup is a subgroup such that . If we also ask to have trivial inters…