Product formula of Artin symbols in non-abelian extensions

The product formula for Artin symbols (norm residue symbols) connects local and global class field theory. Usually, the formula is considered in abelian extensions of global fields. In this paper, the product is considered in non-abelian extensions such t

Authors

Institutions

Publication Details

Journal
Acta Arithmetica
Published
2025-01-01
DOI
https://doi.org/10.4064/aa240616-9-12
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Product formula of Artin symbols in non-abelian extensions

Sosuke Sasaki
Acta Arithmetica
Rings, Modules, and Algebras
article

Product formula of Artin symbols in non-abelian extensions

Sosuke Sasaki
article en

Abstract

The product formula for Artin symbols (norm residue symbols) connects local and global class field theory. Usually, the formula is considered in abelian extensions of global fields. In this paper, the product is considered in non-abelian extensions such t

Acta Arithmetica
Waseda University (JP)
Openalex Percentile: Top 78%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Product formula of Artin symbols in non-abelian extensions — Sosuke Sasaki · Acta Arithmetica (2025) | TGRS Research Map | TGRS