$p$-Johnson homomorphisms and pro-p groups

Masanori Morishita; Yuji Terashima

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arXiv · 1311.5982

$p$-Johnson homomorphisms and pro-p groups

Masanori Morishita·Yuji Terashima

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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.

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Masanori Morishita, Yuji Terashima. 2013-11-23. $p$-Johnson homomorphisms and pro-p groups. https://arxiv.org/abs/1311.5982

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