English

P-adic Nori Theory

Group Theory 2009-05-14 v1 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.0905.2149,
  title  = {P-adic Nori Theory},
  author = {Michael Larsen},
  journal= {arXiv preprint arXiv:0905.2149},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T13:01:52.548Z