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Quantifying residual finiteness of arithmetic groups

Published online by Cambridge University Press:  19 March 2012

Khalid Bou-Rabee
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Ave., Chicago, IL 60637, USA (email: khalid@math.uchicago.edu)
Tasho Kaletha
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Ave., Chicago, IL 60637, USA (email: tkaletha@math.uchicago.edu)
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Abstract

The normal residual finiteness 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 residual finiteness growth ndim (G).

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2012

References

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