Generators of the pro-p Iwahori and Galois representations-Reference-Cited by-同舟云学术

Generators of the pro-p Iwahori and Galois representations

Published:2017-11-21 Issue:01 Volume:14 Page:37-53
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Cornut Christophe¹,Ray Jishnu²

Affiliation:

1. CNRS — Institut de Mathématiques de Jussieu - Paris, Rive Gauche, 4, place Jussieu, 75252 Paris Cedex 05, France

2. Département de Mathématiques, Université Paris-Sud 11, Bâtiment 430, 91405 Orsay Cedex, France

Abstract

For an odd prime [Formula: see text], we determine a minimal set of topological generators of the pro-[Formula: see text] Iwahori subgroup of a split reductive group [Formula: see text] over [Formula: see text]. In the simple adjoint case and for any sufficiently large regular prime [Formula: see text], we also construct Galois extensions of [Formula: see text] with Galois group between the pro-[Formula: see text] and the standard Iwahori subgroups of [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118500045

Reference9 articles.

1. Galois representations with open image

2. Sur les p -extensions des corps p -rationnels

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