Generators of the pro-p Iwahori and Galois representations
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 ℤp. 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.
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