List questions from profinite-groups

Published on 18 Nov 2016 - 17:04

48

Views

What follows from equality after reduction mod $p$ of closed subgroups of $\mathrm{GL}_n(\mathbb{Z}_p)$?

Published on 23 Nov 2016 - 7:31

139

Views

Prove that $M_{n}(R)$ is a profinite ring and that $GL_{n}(R)$ is a profinite group.

Published on 08 Dec 2016 - 1:31

1.2k

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Galois group is a profinite group

Published on 13 Dec 2016 - 19:03

287

Views

Prove that $k[[t]]$ is the completion of the polynomial algebra $k[t]$

Published on 17 Jan 2017 - 21:30

820

Views

Confusing percentages issue

Published on 26 Jan 2017 - 13:41

1.2k

Views

The dual group of the profinite integers

Published on 26 Jan 2017 - 16:41

236

Views

Groups with the same completion

Published on 02 Feb 2017 - 1:35

255

Views

What is the structure of the complete group algebra of $\mathbb{Z}^2$?

Published on 02 Feb 2017 - 22:12

330

Views

Prove that $Gal(K/k) \cong \hat{\mathbb{Z}}$

Published on 16 Feb 2017 - 2:10

318

Views

Continuous Image of a profinite group into $T=\mathbb{R}/\mathbb{Z}$

Published on 17 Feb 2017 - 11:49

153

Views

What's the Sylow group of the absolute Galois group of a henselian field?

Published on 08 Mar 2017 - 15:54

90

Views

Interpretation of the second continous group cohomology

Published on 10 Mar 2017 - 20:29

78

Views

Homomorphism onto a profinite group

Published on 17 Mar 2017 - 21:55

87

Views

$p$-valued pro-$p$ groups

Published on 01 Feb 2023 - 16:05

List Question

If $H \subseteq G$ are finite abelian groups, how does $L^2(H)$ embed into $L^2(G)$?

What follows from equality after reduction mod $p$ of closed subgroups of $\mathrm{GL}_n(\mathbb{Z}_p)$?

Prove that $M_{n}(R)$ is a profinite ring and that $GL_{n}(R)$ is a profinite group.

Galois group is a profinite group

Prove that $k[[t]]$ is the completion of the polynomial algebra $k[t]$

Confusing percentages issue

The dual group of the profinite integers

Groups with the same completion

What is the structure of the complete group algebra of $\mathbb{Z}^2$?

Prove that $Gal(K/k) \cong \hat{\mathbb{Z}}$

Continuous Image of a profinite group into $T=\mathbb{R}/\mathbb{Z}$

What's the Sylow group of the absolute Galois group of a henselian field?

Interpretation of the second continous group cohomology

Homomorphism onto a profinite group

$p$-valued pro-$p$ groups

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