4 papers
Classification of Artin groups admitting retractions onto their parabolic subgroups
Bruno Aarón Cisneros de la Cruz, María Cumplido, Islam Foniqi +1
We classify the Artin groups that admit retractions onto all of their parabolic subgroups. Our approach relies on a detailed analysis of triangular subgroups, with a key ingredient…
Canonical Reduction Systems in Artin-Tits groups of spherical type
María Cumplido, Juan González-Meneses, Davide Perego
We introduce the canonical reduction system of an element in an Artin-Tits group of spherical type, which generalizes the similar notion for braids (and mapping classes) introduced…
Rewriting in Artin groups without A_3 or B_3 subdiagrams
Rubén Blasco-García, María Cumplido, Derek F. Holt +2
We prove that the word problem in an Artin group G based on a diagram without A_3 or B_3 subdiagrams can be solved using a system of length preserving rewrite rules which, together…
Pure infinitely braided Thompson groups
María Cumplido
We show that pure subgroups of infinitely braided Thompson's are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.