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math.GR2023
Commensurated hyperbolic subgroups
Nir Lazarovich, Alex Margolis, Mahan Mj
We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups a…
math.GR2023
Graphically discrete groups and rigidity
Alex Margolis, Sam Shepherd, Emily Stark +1
We introduce the notion of graphical discreteness to group theory. A finitely generated group is graphically discrete if whenever it acts geometrically on a locally finite graph, t…