Jeremy Muskat

  1. Alternating group covers of the affine line.

    Authors: Jeremy Muskat, Rachel Pries
    Subjects: Number Theory
    Abstract

    We prove Abhyankar's Inertia Conjecture for the alternating group A_{p+2} on
    p+2 letters when p = 2 mod 3, by showing that every possible inertia group
    occurs for a (wildly ramified) A_{p+2}-Galois cover of the projective k-line
    branched only at infinity where k is an algebraically closed field of
    characteristic p > 0.

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