Milnor invariants and Massey products for prime numbers

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Following the analogy between primes and knots, we introduce the refined Milnor invariants for prime numbers and establish their connection with certain Massey products in Galois cohomology. This generalizes the well-known relation between the power residue symbol and cup product and gives a cohomological interpretation of L. Rédei's triple symbol.

Original languageEnglish
Pages (from-to)69-83
Number of pages15
JournalCompositio Mathematica
Volume140
Issue number1
DOIs
Publication statusPublished - Jan 1 2004
Externally publishedYes

Fingerprint

Prime number
Galois Cohomology
Cup Product
Invariant
Knot
Analogy
Generalise
Interpretation

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Milnor invariants and Massey products for prime numbers. / Morishita, Masanori.

In: Compositio Mathematica, Vol. 140, No. 1, 01.01.2004, p. 69-83.

Research output: Contribution to journalArticle

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