Galois module structure of rings of integers

Galois module structure of Tate modules

“…The cohomology of the 4 + 1 indecomposable modules is known [9]. So taking cohomology in (6), we obtain:…”

The Galois Structure of Ambiguous Ideals in Cyclic Extensions of Degree 8

“…(Note: This question has already been addressed for those group rings with 'very good' representation theory, those of finite type. See [RCVSM90] and [Eld95]. )…”

“…Indecomposable modules are listed in Appendix A and e 0 denotes the absolute ramification index of K 0 . Following [RCVSM90] and [Eld95], Tables 1 and 2. Note the eight columns in each table.…”

Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^2$

“…As one might expect, knowing [16] Thm 1, the final summand should somehow correspond to a collection of -Ri's.…”

“…And for each of these modules we give explicit interpretations, following [16] pg 407-8 and [5] pg 175-6. In each case, a acts via multiplication by a;, and ^pi (x) denotes the j^-th cyclotomic polynomial.…”