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YCor
YCor
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(etale) Fundamental Étale fundamental group of multiplicative group over an algebraically/separably closed field

This is a repost of my question here.

Do we knownknow the structure of the étale fundamental group $\pi^\text{et}_1(\mathbb{G}_{m,K^\text{sep}})$ forof the multiplicative group, for a given field $K$? For instance what is $$\pi_1^\text{et}(\mathbb{G}_{m,\overline{\mathbb{F}_p}})?$$

(etale) Fundamental group of multiplicative group over an algebraically/separably closed field

This is a repost of my question here.

Do we known the structure of $\pi^\text{et}_1(\mathbb{G}_{m,K^\text{sep}})$ for a given field $K$? For instance what is $$\pi_1^\text{et}(\mathbb{G}_{m,\overline{\mathbb{F}_p}})?$$

Étale fundamental group of multiplicative group over an algebraically/separably closed field

This is a repost of my question here.

Do we know the structure of the étale fundamental group $\pi^\text{et}_1(\mathbb{G}_{m,K^\text{sep}})$ of the multiplicative group, for a given field $K$? For instance what is $$\pi_1^\text{et}(\mathbb{G}_{m,\overline{\mathbb{F}_p}})?$$

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Pippo
Pippo
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(etale) Fundamental group of multiplicative group over an algebraically/separably closed field

This is a repost of my question here.

Do we known the structure of $\pi^\text{et}_1(\mathbb{G}_{m,K^\text{sep}})$ for a given field $K$? For instance what is $$\pi_1^\text{et}(\mathbb{G}_{m,\overline{\mathbb{F}_p}})?$$