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South East Regional Meeting On Numbers 2005
April 15-17, 2005
University of South Carolina; Department of Mathematics
Columbia, SC 29208, USA

Organizers
Michael Filaseta, Robert Murphy, Ognian Trifonov, and Gang Yu

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Are there nonsolvable extensions of quadratic fields with small prime-power discriminants?
by
Sharon Brueggeman
University of Tennessee at Chattanooga

The techniques of discriminant bounding have been successful at proving thenonexistence of nonsolvable extensions of Q with discriminant equal to +/- pk for small primes. For example, see various works of Brueggeman, Moon, and Tate. I will discuss how well these techniques work when modified for quadratic base fields.

Date received: March 29, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqa-21.