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 $S$ o...

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Bibliographic Details
Main Author: Georges Gras
Format: Article
Language:English
Published: Emrah Evren KARA 2019-12-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
abelian $s$-ramification
class field theory
class groups
leopoldt's conjecture
$p$-adic regulators
pro-$p$-groups
units
$\z_p$-extensions
Online Access:https://dergipark.org.tr/tr/download/article-file/906434

Internet

https://dergipark.org.tr/tr/download/article-file/906434

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