We prove results about the inertia groups and genera which occur for wildly ramified alternating group covers of the affine line in characteristic p. In particular, for the alternating group on p+2 letters, we prove Abhyankar's Inertia Conjecture that all possible inertia groups occur for these covers. This is joint work with Irene Bouw and Jeremy Muskat.
Galois Seminar
Wednesday, September 16, 2009 - 4:15pm
Rachel Pries
Colorado State University and Penn