Higher Massey products in the cohomology of mild pro-\(p\)-groups.

DOI10.1016/j.jalgebra.2014.07.023zbMath1329.20066arXiv1212.2118OpenAlexW2963547941MaRDI QIDQ471917

Jochen Gärtner

Publication date: 17 November 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2118

zbMATH Keywords

Massey productscohomological dimensionrestricted Lie algebrasmild pro-\(p\)-groupsone-relator pro-\(p\)-groupsZassenhaus filtrations

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Limits, profinite groups (20E18) Massey products (55S30)

Related Items

Construction of unipotent Galois extensions and Massey products ⋮ \(p\)-Johnson homomorphisms and pro-\(p\) groups ⋮ On the propagation of the mild property over a quadratic imaginary extension of \(\mathbb {Q}\) ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Triple Massey products and absolute Galois groups ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension ⋮ On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ Triple Massey products and Galois theory ⋮ A constructive approach to higher homotopy operations ⋮ On pro-𝑝 link groups of number fields ⋮ On pro-\(p\) groups with quadratic cohomology

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