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$p$-Johnson homomorphisms and pro-p groups
- Publication Year :
- 2013
- Publisher :
- arXiv, 2013.
-
Abstract
- We propose an approach to study non-Abelian Iwasawa theory, using the idea of Johnson homomorphisms in low dimensional topology. We introduce arithmetic analogues of Johnson homomorphisms/maps, called the p-Johnson homomorphisms/maps, associated to the Zassenhaus filtration of a pro-p Galois group over a Z_p-extension of a number field. We give their cohomological interpretation in terms of Massey products in Galois cohomology.<br />Comment: 38 pages, to appear in J. of Algebra, changed title from "p-Johnson homomorphisms in non-Abelian Iwasawa theory", added references in section 5, corrected typos
- Subjects :
- Pure mathematics
Low-dimensional topology
Galois cohomology
Mathematics::Number Theory
Galois group
010103 numerical & computational mathematics
Arithmetic topology
01 natural sciences
Mathematics::Algebraic Topology
Mathematics - Geometric Topology
Mathematics::K-Theory and Homology
Filtration (mathematics)
FOS: Mathematics
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
Number Theory (math.NT)
0101 mathematics
Mathematics
11R23, 11R34, 20E18, 57M05 (Primary) 20F34, 57M25 (Secondary)
Discrete mathematics
Algebra and Number Theory
Mathematics - Number Theory
010102 general mathematics
Geometric Topology (math.GT)
Iwasawa theory
Algebraic number field
Homomorphism
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....75bb56d12ca72e985907c12e40e49032
- Full Text :
- https://doi.org/10.48550/arxiv.1311.5982