Generators of the pro-p Iwahori and Galois representations
Number Theory
2018-01-12 v1 Group Theory
Abstract
For an odd prime p, we determine a minimal set of topological generators of the pro-p Iwahori subgroup of a split reductive group G over Z\_p. In the simple adjoint case and for any sufficiently large regular prime p, we also construct Galois extensions of Q with Galois group between the pro-p and the standard Iwahori subgroups of G.
Keywords
Cite
@article{arxiv.1611.06084,
title = {Generators of the pro-p Iwahori and Galois representations},
author = {Christophe Cornut and Jishnu Ray},
journal= {arXiv preprint arXiv:1611.06084},
year = {2018}
}