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Milnor invariants and Massey products for prime numbers

Authors :
Masanori Morishita
Source :
Compositio Mathematica. 140:69-83
Publication Year :
2004
Publisher :
Wiley, 2004.

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. Redei's triple symbol.

Details

ISSN :
15705846 and 0010437X
Volume :
140
Database :
OpenAIRE
Journal :
Compositio Mathematica
Accession number :
edsair.doi...........855c356cda2ecb35fd23f5a860ed9168
Full Text :
https://doi.org/10.1112/s0010437x03000137