%0 Journal Article %T On the kernel of the norm in some unramified number fields extensions %A Emmanuel Hallouin %A Marc Perret %J Mathematics %D 2007 %I arXiv %X We determine the -1 Tate cohomology group of the units for principal abelian extensions of type (p^a, p^b) of a number field. %U http://arxiv.org/abs/0706.0417v1