3 papers
math.GR2026
Action graphs, semiconjugacy, and non-embedding in Thompson's group
James Hyde, Rachel Skipper, Matthew C. B. Zaremsky
We prove a variety of results about subgroups of Thompson's group . First we prove that every action graph of a finitely generated subgroup of acting on an orbit in Cantor s…
math.GT2026
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…
math.GR2026
Small Cancellation for Random Branched Covers of Groups
Hyeran Cho, Jean-François Lafont, Rachel Skipper
We construct a random model for an -fold branched cover of a finite acceptable -complex . This includes presentation -complexes for finitely presented groups satisfying…