43 citations · 217 across the 30 of their papers we have counts for
10 papers · 1 filter
Isomorphisms and commensurability of surface Houghton groups
Javier Aramayona, George Domat, Christopher J. Leininger
We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry.
Cloning systems and action operads
Javier Aramayona, Federico Cantero Morán, Víctor Carmona +1
Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky.…
A note on nilpotent subgroups of automorphism groups of RAAGs
Javier Aramayona, Anthony Genevois
We observe that automorphism groups of right-angled Artin groups contain nilpotent non-abelian subgroups, namely the three-dimensional integer Heisenberg group, p…
Representations of pure symmetric automorphism groups of RAAGs
Javier Aramayona, Conchita Martínez Pérez
We study representations of the pure symmetric automorphism group of a RAAG with defining graph . We first construct a homomorphism from to the dir…
Trees, homology, and automorphism groups of RAAGs
Javier Aramayona, José L. Fernández, Pablo Fernández +1
We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree. More concretel…
Geometric dimension of lattices in classical simple Lie groups
Javier Aramayona, Dieter Degrijse, Conchita Martinez-Perez +1
We prove that if is a lattice in a classical simple Lie group , then the symmetric space of is -equivariantly homotopy equivalent to a proper cocompact -CW complex…
On the first cohomology of automorphism groups of graph groups
Javier Aramayona, Conchita Martínez-Pérez
We study the (virtual) indicability of the automorphism group of the right-angled Artin group associated to a simplicial graph . First, we identify two conditio…
Automorphisms of the graph of free splittings
Javier Aramayona, Juan Souto
We prove that every simplicial automorphism of the free splitting graph of a free group of at least rank 3 is induced by an outer automorphism of the free group.
Free subgroups of surface mapping class groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We quantify the generation of free subgroups of surface mapping class groups by pseudo-Anosov mapping classes in terms of their translation distance and the distance between their…
Uniformly exponential growth and mapping class groups of surfaces
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups. This provides further evidenc…