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 Zp-extension of a number field. We give their cohomological interpretation in terms of Massey products in Galois cohomology.
|Number of pages||35|
|Journal||Journal of Algebra|
|Publication status||Published - Jun 1 2017|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory