Alternating group coverings of the affine line for characteristic two

@article{Abhyankar1994AlternatingGC,
  title={Alternating group coverings of the affine line for characteristic two},
  author={S. Abhyankar and Jun Ou and A. Sathaye},
  journal={Discret. Math.},
  year={1994},
  volume={133},
  pages={25-46}
}
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. 
18 Citations
Small degree coverings of the affine line in characteristic two
  • 11
  • PDF
Nice equations for nice groups
  • 44
  • PDF
MATHIEU GROUP COVERINGS AND GOLAY CODES
  • 1
  • PDF
Random hypergraphs in pseudofinite fields
  • Özlem Beyarslan
  • Mathematics
  • Journal of the Institute of Mathematics of Jussieu
  • 2009
  • 11
Cubic Fields and Radical Extensions
  • 2
...
1
2
...

References

SHOWING 1-10 OF 22 REFERENCES
Small degree coverings of the affine line in characteristic two
  • 11
  • PDF
Wreath products and enlargements of groups
  • 7
Galois theory on the line in nonzero characteristic
  • 80
  • PDF
Linear disjointness of polynomials
  • 6
  • PDF
Algebraic coding theory
  • E. Berlekamp
  • Computer Science
  • McGraw-Hill series in systems science
  • 1968
  • 2,732
Paris
  • 1,156
  • PDF
Group enlargements
  • C.R. Acad. Sci. Paris
  • 1991
Construction de rev&tements itales de la droite affine en caractiristique p, CR
  • Acad. Sci. Paris
  • 1990
...
1
2
3
...