Bloch–Kato pro-p groups and locally powerful groups

DOI10.1515/forum-2011-0069zbMath1308.20029arXiv1211.4504OpenAlexW3100130754MaRDI QIDQ3189512

Claudio Quadrelli

Publication date: 11 September 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4504

zbMATH Keywords

Tits alternativeabsolute Galois groupsfree pro-\(p\) groupspowerful pro-\(p\) groupsBlock-Kato groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Galois cohomology (12G05) Local properties of groups (20E25) Limits, profinite groups (20E18)

Related Items (17)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Detecting fast solvability of equations via small powerful Galois groups ⋮ On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups ⋮ Galois-theoretic features for 1-smooth pro-p groups ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Right‐angled Artin pro‐p$p$ groups ⋮ Demushkin groups of uncountable rank ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ Right-angled Artin groups and enhanced Koszul properties ⋮ Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful. ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Finite quotients of Galois pro-\(p\) groups and rigid fields. ⋮ Two families of pro-\(p\) groups that are not absolute Galois groups ⋮ On pro-\(p\) groups with quadratic cohomology ⋮ Groups of \(p\)-absolute Galois type that are not absolute Galois groups

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