p-Johnson homomorphisms and pro-p groups

JOURNAL OF ALGEBRA

卷:479

Article

Morishita, Masanori¹  Terashima, Yuji² 

[1] Kyushu Univ, Grad Sch Math, Nishi Ku, 744 Motooka, Fukuoka 8190895, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, 2-12-1 Oh Okayama, Tokyo 1528551, Japan

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

DOI  :  10.1016/j.jalgebra.2017.01.028

来源: Elsevier

【 摘 要 】

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 Zr-extension of a number field. We give their cohomological interpretation in terms of Massey products in Galois cohomology. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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