Exceptional case of the non semi-simple Real Abelian Main Conjecture
Résumé
In the papers: ``The Chevalley--Herbrand formula and the real
abelian Main Conjecture (New criterion using capitulation of the class group),
J. Number Theory 248 (2023)'' and ``On the real abelian main
conjecture in the non semi-simple case, arXiv (2023)'', we consider real cyclic
fields K and primesℓ=1 (mod 2p^N) totally inert in K, implying
implicitly, K linearly disjoint from cyclotomic fields of p-power conductor.
In this complementary work, we examine the non linearly disjoint case.
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