A Note on the OpenAI Construction of Counterexamples to the Kaplansky Direct-Finiteness Conjecture
Andrei Jaikin-Zapirain
Abstract
We give a human-readable exposition of OpenAI's construction of a group algebra in characteristic two that is not directly finite. We then adapt the argument to show that, for every prime p, there exists a hyperbolic group Gp such that Fp[Gp] is not directly finite.
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