5 papers
Twisted commutativity and conjugacy ratio in groups
Laura Ciobanu, Gemma Crowe, Pieter Senden +1
In this paper we introduce and study the degree of twisted commutativity and the twisted conjugacy ratio of a finitely generated group . The degree of twisted commutativity $\ma…
Conjugacy problem in virtual right-angled Artin groups
Gemma Crowe
In this paper we solve the conjugacy problem for several classes of virtual right-angled Artin groups, using algebraic and geometric techniques. We show that virtual RAAGs of the f…
Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups
Gemma Crowe
In this second paper we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation $G(m) = \langle a,b \mid {}_{m}(a,b) = {}_{m}(b,a) \ra…
Conjugacy geodesics and growth in dihedral Artin groups
Laura Ciobanu, Gemma Crowe
In this paper we describe conjugacy geodesic representatives in any dihedral Artin group , , which we then use to calculate asymptotics for the conjugacy growth of $…
Twisted conjugacy in dihedral Artin groups I: Torus Knot groups
Gemma Crowe
In this paper we provide an alternative solution to a result by Juhász that the twisted conjugacy problem for odd dihedral Artin groups is solvable, that is, groups with presentati…