$p$-Johnson homomorphisms and pro-p groups

31 Jan 2017  ·  Morishita Masanori, Terashima Yuji ·

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. read more

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Number Theory Algebraic Topology Geometric Topology