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Preprint in the OpenAI Math release

A finitely generated counterexample to the Eilenberg–Ganea conjecture

OpenAI

Abstract

We construct a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three, disproving the Eilenberg–Ganea conjecture.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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