Generators of the pro-p Iwahori and Galois representations

DOI10.1142/S1793042118500045zbMath1430.20047arXiv1611.06084MaRDI QIDQ4595100

Christophe Cornut, Jishnu Ray

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06084

zbMATH Keywords

Galois representations\(p\)-adic Lie groups\(p\)-rational fieldspro-\(p\) Iwahori subgroup

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Galois representations (11F80) Iwasawa theory (11R23) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (12)

On Galois representations with large image ⋮ Hecke module structure on first and top pro-$p$-Iwahori cohomology ⋮ Normal elements of noncommutative Iwasawa algebras over \(\mathrm{SL}_{3}(\mathbb{Z}_{p})\) ⋮ Constructing Galois representations ramified at one prime ⋮ A note on Galois representations with big image ⋮ Normal elements in the mod-\(p\) Iwasawa algebra over \(\mathrm{SL}_n(\mathbb{Z}_p)\): a computational approach ⋮ Multi-quadratic \(p\)-rational number fields ⋮ Explicit presentation of an Iwasawa algebra: the case of pro-\(p\) Iwahori subgroup of \(\mathrm{SL}_n (\mathbb{Z}_p)\) ⋮ Spherical varieties and norm relations in Iwasawa theory ⋮ Algebraic monodromy groups of \(l\)-adic representations of \(\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})\) ⋮ A note on Galois representations valued in reductive groups with open image ⋮ Galois representations with big image in the general symplectic group \(\mathrm{GSp}_4( \mathbb{Z}_p)\)

Cites Work

• Galois representations with open image
• A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules
• On the maximal pro-\(p\) extension unramified outside \(p\) of an imaginary quadratic field
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Sur les p -extensions des corps p -rationnels
• Extensions with given points of ramification
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