1. Milnor invariants and Massey products for prime numbers
- Author
-
Masanori Morishita
- Subjects
Discrete mathematics ,Pure mathematics ,Algebra and Number Theory ,Galois cohomology ,Mathematics::Number Theory ,Prime number ,Mathematics::Algebraic Topology ,Connection (mathematics) ,Power residue symbol ,Interpretation (model theory) ,Mathematics::K-Theory and Homology ,Cup product ,Computer Science::Symbolic Computation ,Symbol (formal) ,Mathematics - 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.
- Published
- 2004
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