Rachel Skipper

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20242026

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math.GR2024

The Higman--Thompson groups $V_{n}$ are $(2, 2, 2)$ -generated

Eduard Schesler, Rachel Skipper, Xiaolei Wu

We provide a family of generating sets $S_{α}$ of the Higman--Thompson groups $V_{n}$ that are parametrized by certain sequences $α$ of elements in $V_{n}$ . These generating sets consist…

math.GT2024

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.GR2024

GGS-groups acting on trees of growing degrees

Rachel Skipper, Anitha Thillaisundaram

We consider analogues of Grigorchuk-Gupta-Sidki (GGS-)groups acting on trees of growing degree; the so-called growing GGS-groups. These groups are not just infinite and do not poss…

The Higman--Thompson groups Vn​ are (2,2,2)-generated

Non-planar ends are continuously unforgettable

GGS-groups acting on trees of growing degrees

The Higman--Thompson groups $V_{n}$ are $(2, 2, 2)$ -generated