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. |
Year | DOI | Venue |
---|---|---|
1994 | 10.1016/0012-365X(94)90014-0 | Discrete Mathematics |
Keywords | Field | DocType |
alternating group covering,affine line,alternating group | Affine transformation,Discrete mathematics,Combinatorics,Automorphisms of the symmetric and alternating groups,Discriminant,Covering groups of the alternating and symmetric groups,Galois group,Arf invariant,Affine group,Mathematics,Alternating group | Journal |
Volume | Issue | ISSN |
133 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
2 | 1.56 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shreeram S. Abhyankar | 1 | 23 | 6.93 |
Jun Ou | 2 | 2 | 1.56 |
Avinash Sathaye | 3 | 34 | 3.73 |