A History of Galois fields
type: Dataset
contact point: Organization
  fn: CCSD
keyword: cyclotomy
keyword: infoeu-reposemanticspreprint
keyword: jordan
keyword: group-theory
keyword: history-of-algebra
keyword: equations
keyword: galois-fields
keyword: hermite
keyword: shshisphilsohumanities-and-social-scienceshistory-philosophy-and-sociology-of-sciences
keyword: dickson
keyword: ams-2000--01a55
keyword: substitutions
keyword: preprints-working-papers-
keyword: moore
keyword: galois
keyword: history-of-number-theory
keyword: finite-fields
landing page: https://hal.science/hal-00786662
description: This paper stresses a specific line of development of the notion of finite field, from Évariste Galois's 1830 ''Note sur la théorie des nombres,'' and Camille Jordan's 1870 Traité des substitutions et des équations algébriques, to Leonard Dickson's 1901 Linear groups with an exposition of the Galois theory. This line of development highlights the key role played by some specific algebraic procedures. These intrisically interlaced the indexations provided by Galois's number-theoretic imaginaries with decompositions of the analytic representations of linear substitutions. Moreover, these procedures shed light on a key aspect of Galois's works that had received little attention until now.
issued: 2026-05-14T14:20:43.033832
language: en
modified: 2026-05-14T14:20:43.033838

A History of Galois fields
type: Distribution
access URL: https://hal.science/hal-00786662
format: HTML
issued: 2026-05-14T14:20:43.086525
modified: 2026-05-14T14:20:43.001241

test_moissonnage_selune
type: Agent