Quantifying residual finiteness of arithmetic groups

Details Quantifying residual finiteness of arithmetic groups Quantifying residual finiteness of arithmetic groups

2010-08-20

arxiv.org/abs/1008.3579v1

Mathematics

Group Theory

18 pages

Scientific paper

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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