On Free Resolutions of Iwasawa Modules
On Free Resolutions of Iwasawa Modules
Let \Lambda (isomorphic to \mathbb{Z}_p[[T]] ) denote the usual Iwasawa algebra and G denote the Galois group of a finite Galois extension L/K of totally real fields. When the non-primitive Iwasawa module over the cyclotomic \mathbb{Z}_p -extension has a free resolution of length one over the group ring \Lambda[G] , …