Generators of the pro-p Iwahori and Galois representations

Christophe Cornut; Jishnu Ray

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arXiv · 1611.06084

Generators of the pro-p Iwahori and Galois representations

Christophe Cornut·Jishnu Ray

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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.

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Christophe Cornut, Jishnu Ray. 2016-11-18. Generators of the pro-p Iwahori and Galois representations. https://arxiv.org/abs/1611.06084

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