ABSTRACT. The Second Chinburg Conjecture relates the Galois module struc-
ture of rings of integers in number fields to the values of the Artin root number
on the symplectic representations of the Galois group. We establish the Second
Chinburg Conjecture for all quaternion fields.
Received by the editor July 15. 1997 and in revised form July 22. 1999.
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