Daniel Studenmund

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math.GR2021

Topological Models of Abstract Commensurators

Edgar A. Bering, Daniel Studenmund

The full solenoid over a topological space $X$ is the inverse limit of all finite covers. When $X$ is a compact Hausdorff space admitting a locally path connected universal cover,…

math.GR2018

On abstract commensurators of surface groups

Khalid Bou-Rabee, Daniel Studenmund

Let $Γ$ be the fundamental group of a surface of finite type and Comm $(Γ)$ be its abstract commensurator. Then Comm $(Γ)$ contains the solvable Baumslag--Solitar groups $\langle a ,…

math.GR2018

Commensurability growths of algebraic groups

Khalid Bou-Rabee, Tasho Kaletha, Daniel Studenmund

Fixing a subgroup $Γ$ in a group $G$ , the full 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…

math.GR2018

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

Arithmetic lattices in unipotent algebraic groups

Khalid Bou-Rabee, Daniel Studenmund

Fixing an arithmetic lattice $Γ$ in an algebraic group $G$ , the commensurability growth function assigns to each $n$ the cardinality of the set of subgroups $Δ$ with $[Γ: Γ\cap Δ]…