4 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
The Word Problem is Solvable for 3-free Artin groups in Quadratic Time
Rubén Blasco-García, María Cumplido, Rose Morris-Wright
We give a quadratic-time explicit and computable algorithm to solve the word problem for Artin groups that do not contain any relations of length 3. Furthermore, we prove that, giv…
Homology of even Artin kernels
Rubén Blasco-García, José Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
We explicitly compute the homology groups with coefficients in a field of characteristic zero of cocyclic subgroups or even Artin groups of FC-type. We also give some partial resul…
On the Sigma invariants of even Artin groups of FC-type
Ruben Blasco. García, Jose Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
In this paper we study Sigma invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a condition that we ca…