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math.GR2025
Cocycle stability in permutations of random simplicial complexes
Michael Chapman, Yuval Peled
Finding a non-sofic hyperbolic group will resolve two major problems in geometric group theory: Are there non sofic groups? Are there non residually finite hyperbolic groups? In th…
math.GR2025
Surjunctivity does not characterize cosoficity of invariant random subgroups
Lewis Bowen, Michael Chapman
A group is surjunctive if every injective cellular automaton on it is also surjective. Gottschalk famously conjectured that all groups are surjunctive. This remains a central open…