Back to Search Start Over

$p$-Johnson homomorphisms and pro-p groups

Authors :
Yuji Terashima
Masanori Morishita
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

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....75bb56d12ca72e985907c12e40e49032
Full Text :
https://doi.org/10.48550/arxiv.1311.5982