3 papers
math.GR2018
Commensurability growth of branch groups
Khalid Bou-Rabee, Rachel Skipper, Daniel Studenmund
Fixing a subgroup in a group , the commensurability growth function assigns to each the cardinality of the set of subgroups of 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 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 ei…
math.GR2018
Lamplighter groups, bireversible automata and rational series over finite rings
Rachel Skipper, Benjamin Steinberg
We realize lamplighter groups , with a finite abelian group, as automaton groups via affine transformations of power series rings with coefficients in a finite…