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math.GR2020
Harmonic Functions on Compactly Generated Groups
Darren Creutz
A compactly generated group is noncompact if and only if it admits a nonconstant harmonic function (for some, equivalently for every, reasonable measure). This generalizes the know…
math.GR2013
A Normal Subgroup Theorem for Commensurators of Lattices
Darren Creutz, Yehuda Shalom
We establish a general normal subgroup theorem for commensurators of lattices in locally compact groups. While the statement is completely elementary, its proof, which rests on the…