List questions from profinite-groups

Published on 13 Jul 2018 - 9:42

199

Views

Profinite groups as Galois groups over $\Bbb C(X)$

Published on 14 Jul 2018 - 11:30

89

Views

Upper central series, semidirect products and a lifting property (argument verification)

Published on 20 Mar 2026 - 11:34

163

Views

Split extensions of $G/U$ by elementary abelian $p$-group and $H^1(U, \mathbb{Z}/p\mathbb{Z})$

Published on 20 Mar 2026 - 3:32

165

Views

Show that G is profinite

Published on 21 Mar 2026 - 23:40

87

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Is $\mathbb{Z}_p[\omega]$ profinite when $\omega$ is a primitive $p$-root of unity?

Published on 21 Mar 2026 - 18:38

473

Views

Are we allowed to interchange product and inverse limits?

Published on 24 Aug 2018 - 9:36

115

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Show that $\mathbb{Z}[\sqrt{-5}]_3 \simeq \mathbb{Z}_3[\sqrt{-5}]$

Published on 30 Aug 2018 - 22:15

70

Views

Topology topics for Profinite Groups

Published on 22 Mar 2026 - 1:41

179

Views

Do dense topological subgroups always have the same finite quotients as their underlying bigger topological subgroup?

Published on 02 Oct 2018 - 1:55

148

Views

Dualizing module and finiteness hypothesis

Published on 17 Mar 2026 - 6:32

267

Views

Index of congruence subgroups in $GL_2(\mathbb{Z}_p)$ modulo their centers.

Published on 20 Mar 2026 - 10:13

690

Views

group homomorphism from a profinite group continuous iff kernel open

Published on 21 Oct 2018 - 8:51

317

Views

Is every totally disconnected topological group locally profinite?

Published on 01 Nov 2018 - 17:23

260

Views

Every group of totally disconnected type is locally profinite?

Published on 01 Nov 2018 - 20:13

List Question

Is $\Bbb Z_p^2$ a Galois group over $\Bbb Q$?

Profinite groups as Galois groups over $\Bbb C(X)$

Upper central series, semidirect products and a lifting property (argument verification)

Split extensions of $G/U$ by elementary abelian $p$-group and $H^1(U, \mathbb{Z}/p\mathbb{Z})$

Show that G is profinite

Is $\mathbb{Z}_p[\omega]$ profinite when $\omega$ is a primitive $p$-root of unity?

Are we allowed to interchange product and inverse limits?

Show that $\mathbb{Z}[\sqrt{-5}]_3 \simeq \mathbb{Z}_3[\sqrt{-5}]$

Topology topics for Profinite Groups

Do dense topological subgroups always have the same finite quotients as their underlying bigger topological subgroup?

Dualizing module and finiteness hypothesis

Index of congruence subgroups in $GL_2(\mathbb{Z}_p)$ modulo their centers.

group homomorphism from a profinite group continuous iff kernel open

Is every totally disconnected topological group locally profinite?

Every group of totally disconnected type is locally profinite?

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