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arxiv: 1008.3579 · v1 · pith:AK6RBRSBnew · submitted 2010-08-20 · 🧮 math.GR

Quantifying residual finiteness of arithmetic groups

classification 🧮 math.GR
keywords groupfarbgrowthnormalarithmeticchevalleyfinitefiniteness
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The normal Farb growth of a group quantifies how well-approximated the group is by its finite quotients. We show that any S-arithmetic subgroup of a higher rank Chevalley group G has normal Farb growth n^dim(G).

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