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 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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Submitted on : Thursday, November 17, 2016 - 11:59:09 AM
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  • HAL Id : hal-01398468, version 1
  • ARXIV : 1611.06084

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Christophe Cornut, Jishnu Ray. Generators of the pro-p Iwahori and Galois representations. 2016. ⟨hal-01398468⟩

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