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

SCI - Mathematics

Kyushu University

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 - 2017 Jun 1

Keywords

Arithmetic topology
Massey products
Non-Abelian Iwasawa theory
Pro-p groups
Zassenhaus filtration
p-Johnson homomorphisms

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10.1016/j.jalgebra.2017.01.028

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

keywords = "Arithmetic topology, Massey products, Non-Abelian Iwasawa theory, Pro-p groups, Zassenhaus filtration, p-Johnson homomorphisms",

author = "Masanori Morishita and Yuji Terashima",

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year = "2017",

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T1 - p-Johnson homomorphisms and pro-p groups

AU - Morishita, Masanori

AU - Terashima, Yuji

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

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.

KW - Arithmetic topology

KW - Massey products

KW - Non-Abelian Iwasawa theory

KW - Pro-p groups

KW - Zassenhaus filtration

KW - p-Johnson homomorphisms

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DO - 10.1016/j.jalgebra.2017.01.028

M3 - Article

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SN - 0021-8693

VL - 479

SP - 102

EP - 136

JO - Journal of Algebra

JF - Journal of Algebra

ER -

p-Johnson homomorphisms and pro-p groups

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Keywords

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