3 citations · 5 across the 6 of their papers we have counts for
7 papers
The conjugacy problem in cyclic extensions of one-ended hyperbolic groups
Armando Martino
Let be a torsion-free one-ended hyperbolic group and let . We prove that the mapping torus, or suspension, has sol…
Automorphism-invariant refinements of weakly branch actions via overlap functions
Armando Martino
Let a finitely generated group act weakly branch on a locally finite rooted tree with boundary . The rooted tree structure is encoded by the \textit{overlap fun…
Coset correct means on groups and the probability that two elements commute
Armando Martino, Motiejus Valiunas
Amenable groups are those admitting an invariant mean -- a finitely additive probability mean that assigns equal ``weight'' to any two translates of the same set. We introduce cose…
Finiteness properties of Subgroups of Houghton Groups of full Hirsch length
Charles Garnet Cox, Peter Kropholler, Armando Martino
In the 1980's K.S. Brown proved that the Houghton group is of type but not . We show that, provided , the same conclusion…
Property for groups with infinitely many ends
Francesco Fournier-Facio, Harry Iveson, Armando Martino +2
We show that an accessible group with infinitely many ends has property . That is, it has infinitely many twisted conjugacy classes for any twisting automorphism. We de…
The Conjugacy Problem for
François Dahmani, Stefano Francaviglia, Armando Martino +1
We present a solution to the Conjugacy Problem in the group of outer-automorphisms of , a free group of rank 3. We distinguish according to several computable invariants, such…