What type of study is this?

This is a Quantitative Study study.

September 30, 2025Open Access

The Elementary Type Conjecture for Maximal Pro-p Galois groups

IEIdo EfratBen-Gurion University of the Negev

Key Points

The study connects the elementary type conjecture to maximal pro-p Galois groups, emphasizing significant implications for Galois theory.
A focus on the strong arithmetical variant proves critical, revealing links to pro-p Demuskin groups in Galois groups.
Several variants of the conjecture aid in understanding connections to other fields and Galois theories, enhancing overall comprehension.
The investigation showcases potential applications of these findings in field theory and their broader implications in mathematical conjectures.

Abstract

The Elementary Type Conjecture in Galois theory provides a concrete inductive description of the finitely generated maximal pro-p Galois groups GF (p) of fields F containing a root of unity of order p. We describe several variants of this conjecture, and prove various connections between these variants and other conjectures in field and Galois theory. We focus on a strong arithmetical variant of the conjecture, and its implications to the realization of pro-p Demuskin groups as Galois groups.

KI fragen

Bookmark

View Full Paper

Cite This Study

Ido Efrat (Fri,) studied this question.

synapsesocial.com/papers/68dc1e358a7d58c25ebb1707 https://doi.org/https://doi.org/10.48550/arxiv.2509.10168

KI fragen

Bookmark

View Full Paper