7 citations · 14 across the 8 of their papers we have counts for
9 papers
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…
Acylindrical hyperbolicity for Artin groups with a visual splitting
Ruth Charney, Alexandre Martin, Rose Morris-Wright
We establish a criterion that implies the acylindrical hyperbolicity of many Artin groups admitting a visual splitting. This gives a variety of new examples of acylindrically hyper…
Pattern preserving quasi-isometries in lamplighter groups and other related groups
Tullia Dymarz, Beibei Liu, Nataša Macura +1
In this paper we explore the interplay between aspects of the geometry and algebra of three families of groups of the form B semidirect the integers Z, namely Lamplighter groups, s…
The Artin monoid Cayley graph
Rachael Boyd, Ruth Charney, Rose Morris-Wright +1
In this paper we investigate properties of the Artin monoid Cayley graph. This is the Cayley graph of an Artin group with respect to the (infinite) generating set given by th…
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…
A Deligne complex for Artin Monoids
Rachael Boyd, Ruth Charney, Rose Morris-Wright
In this paper we introduce and study some geometric objects associated to Artin monoids. The Deligne complex for an Artin group is a cube complex that was introduced by the second…