p-Johnson homomorphisms and pro-p groups

Masanori Morishita; Yuji Terashima

doi:10.1016/j.jalgebra.2017.01.028

p-Johnson homomorphisms and pro-p groups

Masanori Morishita, Yuji Terashima

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	102-136
Number of pages	35
Journal	Journal of Algebra
Volume	479
DOIs	https://doi.org/10.1016/j.jalgebra.2017.01.028
Publication status	Published - Jun 1 2017

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2017.01.028

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title = "p-Johnson homomorphisms and pro-p groups",

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 Zp-extension of a number field. We give their cohomological interpretation in terms of Massey products in Galois cohomology.",

author = "Masanori Morishita and Yuji Terashima",

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AU - Terashima, Yuji

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AB - 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 Zp-extension of a number field. We give their cohomological interpretation in terms of Massey products in Galois cohomology.

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VL - 479

SP - 102

EP - 136

JO - Journal of Algebra

JF - Journal of Algebra

ER -

p-Johnson homomorphisms and pro-p groups

Abstract

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