, Volume 105, Issue 1, pp 139-141

Generic polynomials are descent-generic

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract:

Let be a generic polynomial for a group G in the sense that every Galois extension N/L of infinite fields with group G and KL is given by a specialization of g(X). We prove that then also every Galois extension whose group is a subgroup of G is given in this way.

Received: 15 January 2001