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arxiv: 1311.5982 · v2 · pith:3M6GC6AGnew · submitted 2013-11-23 · 🧮 math.NT · math.AT· math.GT

p-Johnson homomorphisms and pro-p groups

classification 🧮 math.NT math.ATmath.GT
keywords homomorphismsjohnsongaloismapspro-panaloguesapproacharithmetic
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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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