$\operatorname{Aut}(\mathbb{F}_5)$ has property (T)

$Q$’s: Wedderburn decomposition of the solution matrix.

Abstract

We give a constructive, computer-assisted proof that $\operatorname{Aut}(\mathbb{F}_5)$, the automorphism group of the free group on $5$ generators, has Kazhdan’s property (T).

Publication
Mathematische Annalen, December 2019, Volume 375, Issue 3–4, pp. 1169–1191

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Marek Kaluba
Mathematician

My research interests include computational algebra, geometric group theory (in particular: property (T)) and (previously) surgery aspects of manifolds.