87 - 1 New ramification breaks and additive Galois structure

Which invariants of a Galois p-extension of local number fields L/K (residue field of char p, and Galois group G) determine the structure of the ideals in L as modules over the group ring Zp[G], Zp the p-adic integers? We consider this question within the context of elementary abelian extensions, though we also briefly consider cyclic extensions. For elementary abelian groups G, we propose and study a new group (within the group ring Fq[G] where Fq is the residue field) and its resulting ramification filtrations.