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20112020
most citedApproximating a group by its solvable quotients

7 citations · 7 across the 1 of their papers we have counts for

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math.GR2020

Baumslag-Solitar relations in abstract commensurators of free groups

Khalid Bou-Rabee, Samuel Young

Any non-residually finite Baumslag-Solitar group has a non-residually finite image in the abstract commensuration of a nonabelian free group. This gives a new proof (avoiding Britt…

math.GR2019

Residual finiteness growths of Lamplighter groups

Khalid Bou-Rabee, Junjie Chen, Anastasiia Timashova

Residual finiteness growth gives an invariant that indicates how well-approximated a finitely generated group is by its finite quotients. We briefly survey the state of the subject…

math.GR2018

On abstract commensurators of surface groups

Khalid Bou-Rabee, Daniel Studenmund

Let be the fundamental group of a surface of finite type and Comm be its abstract commensurator. Then Comm 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 in a group , the full commensurability growth function assigns to each the cardinality of the set of subgroups of 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 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

Arithmetic lattices in unipotent algebraic groups

Khalid Bou-Rabee, Daniel Studenmund

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