Rachel Skipper

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math.GR2026

Action graphs, semiconjugacy, and non-embedding in Thompson's group $V$

James Hyde, Rachel Skipper, Matthew C. B. Zaremsky

We prove a variety of results about subgroups of Thompson's group $V$ . First we prove that every action graph of a finitely generated subgroup of $V$ acting on an orbit in Cantor s…

math.GR2026

Small Cancellation for Random Branched Covers of Groups

Hyeran Cho, Jean-FranÃ§ois Lafont, Rachel Skipper

We construct a random model for an $n$ -fold branched cover of a finite acceptable $2$ -complex $X$ . This includes presentation $2$ -complexes for finitely presented groups satisfying…

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 $S_{I^} \pm$ of the Higman--Thompson groups $V_{n}$ that are parametrized by certain sequences $I^\pm$ of elements in $V_{n}$ . These generating sets consi…

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…

Action graphs, semiconjugacy, and non-embedding in Thompson's group V

Small Cancellation for Random Branched Covers of Groups

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

GGS-groups acting on trees of growing degrees

Action graphs, semiconjugacy, and non-embedding in Thompson's group $V$

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