Rachel Skipper

activity

20162022

most citedAlmost-automorphisms of trees, cloning systems and finiteness properties

11 citations · 24 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.GR2018★ 3 cited

Commensurability growth of branch groups

Khalid Bou-Rabee, Rachel Skipper, Daniel Studenmund

Fixing a subgroup $Γ$ in a group $G$ , the commensurability growth function assigns to each $n$ the cardinality of the set of subgroups $Δ$ of $G$ with $[Γ: Γ\cap Δ][Δ: Γ\cap Δ] = n…

math.GR2018

On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki $3$ group

Rachel Skipper, Phillip Wesolek

We study the Cantor--Bendixson rank of the space of subgroups for members of a general class of finitely generated self-replicating branch groups. In particular, we show for $G$ ei…

math.GR2018

Lamplighter groups, bireversible automata and rational series over finite rings

Rachel Skipper, Benjamin Steinberg

We realize lamplighter groups $A ≀ Z$ , with $A$ a finite abelian group, as automaton groups via affine transformations of power series rings with coefficients in a finite…

Commensurability growth of branch groups

On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group

Lamplighter groups, bireversible automata and rational series over finite rings

On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki $3$ group