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arXiv · 2512.09180

Stability, approximable quotients, and higher property (T)

Francesco Fournier-Facio
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Abstract

We construct a wealth of groups that are finitely presented, Frobenius stable, have property (T), but are very far from having property (T$_2$). Our method also shows that property (T$_2$) does not pass to quotients. A post-scriptum relates and comments on an experience this paper had with an AI benchmark.

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Francesco Fournier-Facio. 2025-12-09. Stability, approximable quotients, and higher property (T). https://arxiv.org/abs/2512.09180

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