34 citations · 78 across the 30 of their papers we have counts for
37 papers
Stallings foldings for rational subsets of automatic groups
Lucía Asencio-Martín, John R. Britnell, Andrew Duncan +2
Let be an automatic group with associated regular language . We describe a procedure for constructing an automaton which recognises elements of a given submonoid or rational…
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…
Groups with ET0L co-word problem
Raad Al Kohli, Derek F. Holt, Sarah Rees
We study groups whose co-word problems are ET0L languages, which we call coET0L groups, using an automaton based model due to van Leeuwen, and recently studied by Bishop and Elder.…
Artin groups of type (2,3,n)
Derek F. Holt, Sarah Rees
Our main theorem is that the word problem in the Artin group G = <a,b,c | aba=bab, ac=ca, {}_{n}(b,c) = {}_{n}(c,b) > for n >= 5 can be solved using a system R of length preserving…
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…
Isomorphism and non-isomorphism for interval groups of type D_n
Barbara Baumeister, Derek F. Holt, Georges Neaime +1
We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group . We u…