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

研究成果: Contribution to journalArticle査読

9 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)18-21
ページ数4
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
76
2
DOI
出版ステータス出版済み - 1 1 2000
外部発表はい

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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