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math.GR2025
Non-solutions to mixed equations in acylindrically hyperbolic groups coming from random walks
Henry Bradford, Alessandro Sisto
A mixed equation in a group is given by a non-trivial element of the free product , and a solution is some such that is the identity.…
math.GR2025
Groups of arbitrary lawlessness growth
Henry Bradford, Jacob Willis
For a finitely generated lawless group and , let be the minimal positive integer such that for all nontrivial reduced words of l…