P-adic Nori Theory

Details P-adic Nori Theory P-adic Nori Theory

2009-05-13

arxiv.org/abs/0905.2149v1

Mathematics

Group Theory

10 pages

Scientific paper

Given a fixed integer n, we consider closed subgroups G of H = GL(n,Z_p)
where Z_p denotes the ring of p-adic integers and p is sufficiently large in
terms of n. Assuming that the Zariski closure of G has no toric part, we give a
condition on the (mod p) reduction of G which guarantees that G is of bounded
index in its Zariski closure in H.

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