Surjectivity Criteria for p-adic Representations, Part I

Mathematics – Number Theory

Scientific paper

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28 pages

Scientific paper

10.1007/s00229-003-0402-4

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.

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