Surjectivity Criteria for p-adic Representations, Part I

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 $G(W_2(k))\twoheadrightarrow G(k)$ has a section.

28 pages

Cited by in corpus (2)

• On the image of l-adic Galois representations for abelian varieties of type I and II
• On two theorems for flat, affine group schemes over a discrete valuation ring