Milnor's link invariants attached to certain Galois groups over $\mathbf {Q}$
Morishita, Masanori
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 18-21 / Harvested from Project Euclid
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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.
Publié le : 2000-02-14
Classification:  Galois groups,  link groups,  Milnor invariants,  Rédei symbol,  11R32,  57M25 
@article{1148393582,
     author = {Morishita, Masanori},
     title = {Milnor's link invariants attached to certain Galois groups over $\mathbf {Q}$},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 18-21},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393582}
}

Morishita, Masanori. Milnor's link invariants attached to certain Galois groups over $\mathbf {Q}$. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  18-21. http://gdmltest.u-ga.fr/item/1148393582/