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Ideals in wild extensions over tame group rings
by
Griff Elder
University of Nebraska at Omaha
Ambiguous ideals in Galois number field extensions, L/K, are natural modules
over the group ring, Z[G] where G=Gal(L/K). In this talk we examine the
structure of these modules under two assumptions:
1. The number theory is hard (the extension L/K is wildly ramified).
2. The integral representation theory is easy (the group ring is of tame type).
As a result, we focus on fully ramified local number field
extensions that are cyclic of degree 8, or are biquadratic.
Date received: March 15, 2000
Copyright © 2000 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 Mathematical Conference Abstracts. Document # caew-13.