$p$-Johnson homomorphisms and pro-p groups
Number Theory
2017-02-01 v2 Algebraic Topology
Geometric Topology
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.
Cite
@article{arxiv.1311.5982,
title = {$p$-Johnson homomorphisms and pro-p groups},
author = {Masanori Morishita and Yuji Terashima},
journal= {arXiv preprint arXiv:1311.5982},
year = {2017}
}
Comments
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