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 language | English |
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Pages (from-to) | 18-21 |
Number of pages | 4 |
Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |
Volume | 76 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jan 1 2000 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)