I would like to prove that $\mathbb{Z}_p$ has cohomological dimension 1, without using the fact that it is a free pro-p-group.
If someone can suggest me any reference (or a hint for a proof) for this it would be very helpful!
2026-02-23 01:03:58.1771808638
$\mathbb{Z}_p$ has cohomological dimension 1
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