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arXiv · 1510.06429

Dehn functions of higher rank arithmetic groups of type $A_n$ in products of simple Lie groups

Morgan Cesa
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Abstract

Suppose $Γ$ is an arithmetic group defined over a global field $K$, that the $K$-type of $Γ$ is $A_n$ with $n \geq 2$, and that the ambient semisimple group that contains $Γ$ as a lattice has at least two noncocompact factors. We use results from Bestvina-Eskin-Wortman and Cornulier-Tessera to show that $Γ$ has a polynomially bounded Dehn function.

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Morgan Cesa. 2015-10-21. Dehn functions of higher rank arithmetic groups of type $A_n$ in products of simple Lie groups. https://arxiv.org/abs/1510.06429

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