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math.GR2023
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.
math.GT2023
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…
math.GR2023
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.…