Memoirs of the American Mathematical Society 2000; 133 pp; softcover Volume: 148 ISBN10: 0821821644 ISBN13: 9780821821640 List Price: US$50 Individual Members: US$30 Institutional Members: US$40 Order Code: MEMO/148/704
 The Second Chinburg Conjecture relates the Galois module structure 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. Readership Graduate students and research mathematicians interested in number theory, algebra, and algebraic \(K\)theory. Table of Contents  Introduction
 Classgroups of grouprings
 The evaluation of \([X]\)
 Quaternion fields over \(\mathbf{Q}_2\)
 The invariant in Cases A, B and C
 The evaluation of \([M]\)
 The conjecture in Cases A, B and C
 Epilogue
 Bibliography
 Index
