Question

Injection from $(K\otimes_{\mathbb{Z}}\hat{\mathbb{Z}})^\to \prod_p(K\otimes_{\mathbb{Z}}\mathbb{Z}_p)^$?

score 58 · Answer 1 · 2020-07-22 21:31:02

58

Views

Injection from $(K\otimes_{\mathbb{Z}}\hat{\mathbb{Z}})^\to \prod_p(K\otimes_{\mathbb{Z}}\mathbb{Z}_p)^$?

Published on 22 Jul 2020 - 21:31

score 165 · Answer 2 · 2026-03-15 06:30:30

165

Views

Pro-finite completion of p-adic Lie groups

Published on 15 Mar 2026 - 6:30

score 467 · Answer 3 · 2016-07-08 11:38:58

467

Views

Maps of profinite sets

Published on 08 Jul 2016 - 11:38

score 88 · Answer 4 · 2016-07-13 20:58:02

88

Views

Convergence of sequence $a_0 := b$ and $a_{n+1} = 2^{a_n}$ in $\hat{\mathbb{Z}}$.

Published on 13 Jul 2016 - 20:58

score 276 · Answer 5 · 2016-07-14 06:00:53

276

Views

To prove: a product of profinite groups is again profinite.

Published on 14 Jul 2016 - 6:00

score 554 · Answer 6 · 2016-07-14 22:16:19

554

Views

Does Abelianization Commute with Profinite Completion?

Published on 14 Jul 2016 - 22:16

score 179 · Answer 7 · 2016-07-22 06:30:14

179

Views

A quick proof that any compact Hausdorff abelian group of finite exponent is profinite

Published on 22 Jul 2016 - 6:30

score 1.5k · Answer 8 · 2016-08-03 13:40:21

1.5k

Views

Inverse limit of finite sets with surjective maps has surjective projection?

Published on 03 Aug 2016 - 13:40

score 791 · Answer 9 · 2016-08-07 14:53:59

791

Views

Is this inverse limit of groups of roots of unity the Prüfer group?

Published on 07 Aug 2016 - 14:53

score 312 · Answer 10 · 2016-08-20 20:27:38

312

Views

Galois group of $\Bbb Q(\{\sqrt[2^n]{2}, \zeta_{2^n} \;:\; n \geq 1 \})$ over $\Bbb Q$

Published on 20 Aug 2016 - 20:27

score 1.3k · Answer 11 · 2016-08-28 18:20:46

1.3k

Views

About pro-$p$ groups

Published on 28 Aug 2016 - 18:20

score 1.1k · Answer 12 · 2016-08-31 00:46:59

1.1k

Views

Closed subgroups of $\hat{\mathbb{Z}}\cong\prod_{p}\mathbb{Z}_{p}$ as subsets?

Published on 31 Aug 2016 - 0:46

score 138 · Answer 13 · 2016-09-05 00:46:42

138

Views

When is first group cohomology isomorphic to conjugacy classes of sections?

Published on 05 Sep 2016 - 0:46

score 67 · Answer 14 · 2016-10-15 19:11:55

67

Views

Strongly complete completion of profinite group

Published on 15 Oct 2016 - 19:11

score 381 · Answer 15 · 2016-11-06 14:40:15

381

Views

Homomorphism between profinite groups is continuous if and only if the preimage of all open normal subgroups is open

Published on 06 Nov 2016 - 14:40

List Question

Injection from $(K\otimes_{\mathbb{Z}}\hat{\mathbb{Z}})^\to \prod_p(K\otimes_{\mathbb{Z}}\mathbb{Z}_p)^$?

Pro-finite completion of p-adic Lie groups

Maps of profinite sets

Convergence of sequence $a_0 := b$ and $a_{n+1} = 2^{a_n}$ in $\hat{\mathbb{Z}}$.

To prove: a product of profinite groups is again profinite.

Does Abelianization Commute with Profinite Completion?

A quick proof that any compact Hausdorff abelian group of finite exponent is profinite

Inverse limit of finite sets with surjective maps has surjective projection?

Is this inverse limit of groups of roots of unity the Prüfer group?

Galois group of $\Bbb Q(\{\sqrt[2^n]{2}, \zeta_{2^n} \;:\; n \geq 1 \})$ over $\Bbb Q$

About pro-$p$ groups

Closed subgroups of $\hat{\mathbb{Z}}\cong\prod_{p}\mathbb{Z}_{p}$ as subsets?

When is first group cohomology isomorphic to conjugacy classes of sections?

Strongly complete completion of profinite group

Homomorphism between profinite groups is continuous if and only if the preimage of all open normal subgroups is open

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