Daniel Studenmund

collaborators

4 papers

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]…