Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification
Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification
The theory of p-ramification, regarding the Galois group of the maximal pro-p-extension of a number field K, unramified outside p and $\infty$, is well known including numerical experiments with PARI/GP programs. The case of ``incomplete p-ramification'' (i.e., when the set S of ramified places is a strict subset of the …