Title
Alternating group coverings of the affine line for characteristic two
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. Abhyankar1236.93
Jun Ou221.56
Avinash Sathaye3343.73