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Results tagged with arithmetic-groups
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user 81803
5
votes
1
answer
594
views
If $G$ is absolutely simple simply connected, why is G(F_v) quasisimple for almost every val...
Let $G$ be an absolutely simple simply connected and connected algebraic group defined over a global field $k$ with ring of integers $\mathcal{O}$. Fix an embedding of $G$ into $GL_n$. Given $v$ a non …
- 141
9
votes
1
answer
366
views
Is the image of an $S$-arithmetic subgroup under a surjective $k$-morphism $S$-arithmetic?
Let $k$ be a global field and let $S$ be a non-empty set of places containing all archimedean ones. Suppose $f:G\to H$ is a surjective $k$-morphism of $k$-groups and let $\Gamma\leq G(k)$ be an $S$-ar …
- 141