Milnor's link invariants attached to certain Galois groups over Q

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This is a résumé of the author's recent work on certain analogies between primes and links. The purpose of this article is to introduce a new invariant, called Milnor invariant, in algebraic number theory, based on an analogy between the structure of a certain Galois group over the rational number field and that of the group of a link in three dimensional Euclidean space. It then turns out that the Legendre, Rédei symbols are interpreted as our link invariants. We expect that this is a tip of an arithmetical theory after the model of link theory which may give a new insight in algebraic number theory. The details will be published elsewhere.

Original languageEnglish
Pages (from-to)18-21
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume76
Issue number2
DOIs
Publication statusPublished - Jan 1 2000
Externally publishedYes

Fingerprint

Link Invariants
Algebraic number
Galois group
Number theory
Analogy
Invariant
Legendre
Number field
Euclidean space
Three-dimensional
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Milnor's link invariants attached to certain Galois groups over Q. / Morishita, Masanori.

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 76, No. 2, 01.01.2000, p. 18-21.

Research output: Contribution to journalArticle

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