Application of the notion of $\Phi$-object to the study of p-class groups and p-ramified torsion groups of abelian extensions

Georges Gras

We revisit, in an elementary way, the classical statement of various ``Main Conjectures'' for $p$-class groups ${\mathcal{H}}_K$ and $p$-ramified torsion groups ${\mathcal{T}}_K$ of ab…