Hermitian Modules in Galois Extensions of Number Fields and Adams Operations

Abstract

0. Introduction and statement of results 1. Some definitions and notation 2. The module M(N/K) 2.1. The group algebra FA 2.2. Determinants 2.3. Resolvends and resolvents 2.4. Adams operations 2.5. Valuation results; the integers v(8) 3. Semilocal isometries 3.1. Local tamely ramified Galois extensions 3.2. Local isometries 4. Double coset description of LI and minus determinants 4.1. Minus determinants, the invariant d 5. Strong approximation 6. Proof of the Main Theorem 7. The abelian case Appendix References