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math.GR2025
Open multiplication in relatively free profinite semigroupoids
Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet
The purpose of this paper is to extend some useful results, such as the multiplication being open, previously known for suitable finitely generated relatively free profinite semigr…
math.GR2022★ 2 cited
Pronilpotent quotients associated with primitive substitutions
Herman Goulet-Ouellet
We describe the pronilpotent quotients of a class of projective profinite groups, that we call -presented groups, defined using a special type of presentations. The pronilpotent…
math.GR2021★ 2 cited
Freeness of Schützenberger groups of primitive substitutions
Herman Goulet-Ouellet
Our main goal is to study the freeness of Schützenberger groups defined by primitive substitutions. Our findings include a simple freeness test for these groups, which is applied t…