Question

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

score 59 · Answer 1 · 2026-03-25 12:54:48

59

Views

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

Published on 25 Mar 2026 - 12:54

score 167 · Answer 2 · 2026-04-19 23:58:58

167

Views

Pro-finite completion of p-adic Lie groups

Published on 19 Apr 2026 - 23:58

score 471 · Answer 3 · 2026-04-30 13:03:39

471

Views

Maps of profinite sets

Published on 30 Apr 2026 - 13:03

score 91 · Answer 4 · 2026-04-16 13:27:11

91

Views

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

Published on 16 Apr 2026 - 13:27

score 280 · Answer 5 · 2026-04-14 23:00:58

280

Views

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

Published on 14 Apr 2026 - 23:00

score 557 · Answer 6 · 2026-04-10 04:26:22

557

Views

Does Abelianization Commute with Profinite Completion?

Published on 10 Apr 2026 - 4:26

score 182 · Answer 7 · 2026-04-11 13:18:57

182

Views

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

Published on 11 Apr 2026 - 13:18

score 1.5k · Answer 8 · 2026-04-15 04:34:10

1.5k

Views

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

Published on 15 Apr 2026 - 4:34

score 794 · Answer 9 · 2026-04-13 16:06:53

794

Views

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

Published on 13 Apr 2026 - 16:06

score 315 · Answer 10 · 2026-04-16 12:26:47

315

Views

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

Published on 16 Apr 2026 - 12:26

score 1.3k · Answer 11 · 2026-04-30 09:41:22

1.3k

Views

About pro-$p$ groups

Published on 30 Apr 2026 - 9:41

score 1.1k · Answer 12 · 2026-04-08 11:58:31

1.1k

Views

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

Published on 08 Apr 2026 - 11:58

score 141 · Answer 13 · 2026-04-09 23:11:56

141

Views

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

Published on 09 Apr 2026 - 23:11

score 70 · Answer 14 · 2026-04-16 13:00:57

70

Views

Strongly complete completion of profinite group

Published on 16 Apr 2026 - 13:00

score 384 · Answer 15 · 2026-04-13 05:34:39

384

Views

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

Published on 13 Apr 2026 - 5:34

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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