Alternating group coverings of the affine line for characteristic two

Abhyankar, Shreeram S. ; Ou, Jun ; Sathaye, Avinash (1994) Alternating group coverings of the affine line for characteristic two Discrete Mathematics, 133 (1-3). pp. 25-46. ISSN 0012-365X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/001236...

Related URL: http://dx.doi.org/10.1016/0012-365X(94)90014-0

Abstract

Unramified coverings of the affine line in characteristic two are constructed having alternating groups as Galois groups. The proof uses Jacobson's criterion for the Galois group of an equation to be contained in the alternating group. Alternating proofs use the Berkelamp discriminant or the Revoy discriminant. These are related to the Arf invariant.

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