MATH Seminar

Title: Generic Galois Extensions for Families of Finite Groups
Job Talk: N/A
Speaker: Shuvra Gupta of University of Pennsylvania
Contact: Susan Guppy, sguppy@emory.edu
Date: 2010-05-19 at 4:00PM
Venue: MSC W303
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Abstract: In order to answer a question of Noether about the rationality of invariant spaces, David Saltman defined the notion of generic Galois extensions. A generic Galois extension for a group G over a field k is a versal G-torsor over a rational base and the existence of generic Galois extensions is known for certain families of finite groups due to the work of Saltman and others. We shall talk about the existence of generic Galois extensions for central extensions of symmetric groups and also for dihedral groups with certain conditions on the base field.