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arXiv · 2205.08040

Zariski dense surface subgroups in $SL(n,\mathbb{Q})$ with odd $n$

Carmen Galaz-García
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Abstract

For odd $n$ we construct a path $ρ_t\colon π_1(S) \to SL(n,\mathbb{R})$ of discrete, faithful and Zariski dense representations of a surface group such that $ρ_t(π_1(S)) \subset SL(n,\mathbb{Q})$ for every $t\in \mathbb{Q}$.

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Carmen Galaz-García. 2022-05-17. Zariski dense surface subgroups in $SL(n,\mathbb{Q})$ with odd $n$. https://arxiv.org/abs/2205.08040

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