The pro-p smoothness conjecture for weak Bloch--Kato pairs

Let G=(G,θ)\mathcal{G}=(G,\theta) be a torsion-free 1-smooth pro-pp pair. Pro-pp smoothness conjecture. The pair G\mathcal{G} is weakly Bloch--Kato. This is the pro-pp version of the De Clercq--Florence Smoothness Conjecture, asserting that torsion-free 1-smoothness forces the weak Bloch--Kato property; its status is not specified in the source.

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Primary source

Claudio Quadrelli, “1-smooth pro-p groups and Bloch-Kato pro-p groups”, arXiv:1904.00667 (2021).

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