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math.GT2023
Group rings and hyperbolic geometry
Grigori Avramidi, Thomas Delzant
For a group acting on a hyperbolic space, we set up an algorithm in the group algebra showing that ideals generated by few elements are free, where few is a function of the minimal…
math.GT2023★ 1 cited
Homology growth, hyperbolization, and fibering
Grigori Avramidi, Boris Okun, Kevin Schreve
We introduce a hyperbolic reflection group trick which builds closed aspherical manifolds out of compact ones and preserves hyperbolicity, residual finiteness, and -- for almost al…