Surjectivity Criteria for p-adic Representations, Part I

2002/09/30 by Adrian Vasiu
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #math.AG #math.NT #math.RT #msc:11S23 #msc:14L17 #msc:17B45 #msc:20G05 #msc:20G40

paper · pdf · doi:10.1007/s00229-003-0402-4

published as Manuscripta Math. 112, no. 3, pp. 325--355 (2003) · 28 pages

openalex publication_date 2003/11/01 · arxiv created 2004/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We prove several surjectivity criteria for p-adic representations. In particular, we classify all adjoint and simply connected group schemes G over the Witt ring W(k) of a finite field k such that the epimorphism G(W₂(k))\twoheadrightarrow G(k) has a section.

Citations

• Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques

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• Generalized Serre--Tate Ordinary Theory

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