12 citations · 39 across the 23 of their papers we have counts for
24 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…
Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups
Andrew Duncan, Alex Evetts, Derek F. Holt +1
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups , , and show that these sets are represented by EDT0L languages in some cases…
Limit groups over coherent right-angled Artin groups
Montserrat Casals-Ruiz, Andrew Duncan, Ilya Kazachkov
A new class of groups , containing all coherent RAAGs and all toral relatively hyperbolic groups, is defined. It is shown that, for a group in the class $\mathcal{…
One-relator quotients of Partially Commutative Groups
Andrew J. Duncan, Arye Juhász
We generalise a key result of one-relator group theory, namely Magnus's Freiheitssatz, to partially commutative groups, under sufficiently strong conditions on the relator. The mai…
Automorphisms of Partially Commutative Groups III: Inversions and Transvections
Andrew J. Duncan, Vladimir N. Remeslennikov
The structure of a certain subgroup of the automorphism group of a partially commutative group (RAAG) is described in detail: namely the subgroup generated by inversions an…
Orientable and non-orientable genus Wicks forms over hyperbolic groups
Andrew Duncan, Steven Fulthorp
In 1962 M.J. Wicks gave a precise description of the form a commutator could take in a free group or a free product and in 1973 extended this description to cover a product of two…