43 citations · 217 across the 30 of their papers we have counts for
37 papers
Asymptotically conformal and asymptotically rigid mapping class groups
Javier Aramayona, George Domat, Christopher Leininger
We give conditions ensuring that an asymptotically rigid mapping class group, specifically a surface Houghton group , has finite index in the asymptotically conform…
Non-planar ends are continuously unforgettable
Javier Aramayona, Rodrigo De Pool, Rachel Skipper +3
We show that continuous epimorphisms between a class of subgroups of mapping class groups of orientable infinite-genus 2-manifolds with no planar ends are always induced by homeomo…
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.
Surface Houghton groups
Javier Aramayona, Kai-Uwe Bux, Heejoung Kim +1
For every , the {\em surface Houghton group} is defined as the asymptotically rigid mapping class group of a surface with exactly ends, all of them non-p…
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.…
Block mapping class groups and their finiteness properties
Javier Aramayona, Julio Aroca, María Cumplido +2
A Cantor surface is a non-compact surface obtained by gluing copies of a fixed compact surface (a block), with boundary components, in a tree-like fashio…