List questions from profinite-groups

Published on 27 May 2021 - 17:54

91

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Example of nilpotent profinite group

Published on 26 Mar 2026 - 6:19

60

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Exercise about set of generators converging to 1 of a profinite group $G$.

Published on 04 Jul 2021 - 14:22

112

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Rank of a profinite group

Published on 16 Jul 2021 - 10:34

321

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Profinite completion of the $p$-adic integers $\mathbb Z_p$

Published on 25 Mar 2026 - 13:54

94

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Are there "simple" motivations for the profinite topology?

Published on 02 Nov 2021 - 17:21

71

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Is it true that in a profinite group any set of generators has a subset of generators converging to 1.

Published on 09 Nov 2021 - 15:08

45

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Intermediate subgroup between closed subgroups of profinite group is closed?

Published on 16 Nov 2021 - 4:40

74

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Existence of deep enough open subgroups in profinite groups

Published on 24 Nov 2021 - 17:55

111

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Equivalent definition of profinite group

Published on 24 Nov 2021 - 23:11

220

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Proofs with strong approximation theorem

Published on 25 Mar 2026 - 13:51

689

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Profinite completion of integers, $\hat{\mathbb{Z}}$, is isomorphic to the product over primes of the $p$-adic integers $\mathbb{Z}_p$

Published on 25 Dec 2021 - 15:29

372

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Galois group of $\mathbb{Q}(\underset{n\geq 1}{\bigcup}\mu_n)/\mathbb{Q}$

Published on 31 Dec 2021 - 14:45

78

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Why there exists some finite index normal subgroup of $G_K$ which fixes all elements of $M$?

Published on 06 Jan 2022 - 17:03

54

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How to compute the unitary dual of a noncommutative profinite group?

Published on 23 Feb 2026 - 21:16

List Question

Smooth representation of profinite group as a limit

Example of nilpotent profinite group

Exercise about set of generators converging to 1 of a profinite group $G$.

Rank of a profinite group

Profinite completion of the $p$-adic integers $\mathbb Z_p$

Are there "simple" motivations for the profinite topology?

Is it true that in a profinite group any set of generators has a subset of generators converging to 1.

Intermediate subgroup between closed subgroups of profinite group is closed?

Existence of deep enough open subgroups in profinite groups

Equivalent definition of profinite group

Proofs with strong approximation theorem

Profinite completion of integers, $\hat{\mathbb{Z}}$, is isomorphic to the product over primes of the $p$-adic integers $\mathbb{Z}_p$

Galois group of $\mathbb{Q}(\underset{n\geq 1}{\bigcup}\mu_n)/\mathbb{Q}$

Why there exists some finite index normal subgroup of $G_K$ which fixes all elements of $M$?

How to compute the unitary dual of a noncommutative profinite group?

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