List questions from divisible-groups

Published on 22 Feb 2026 - 21:20

63

Views

Show that $Q_p / \mathbb Z$ is divisible as $\mathbb Z$-module.

Published on 22 Feb 2026 - 23:07

237

Views

Homomorphism from divisible group to finite group is always trivial

Published on 22 Feb 2026 - 23:10

665

Views

Largest divisible subgroup of an abelian group

Published on 22 Feb 2026 - 23:09

2.2k

Views

Divisibility 1,2,3,4,5,6,7,8,9,&10

Published on 22 Feb 2026 - 23:05

218

Views

Relationship between Archimedean and Divisible ordered groups

Published on 22 Feb 2026 - 23:04

315

Views

Irreducible subgroups of the additive rationals

Published on 22 Feb 2026 - 23:09

1.3k

Views

A group is divisible if and only if it has no maximal subgroup ?

Published on 22 Feb 2026 - 23:09

83

Views

Example of divisible direct product but not the direct sum

Published on 22 Feb 2026 - 23:09

39

Views

On set of all $Z$-module homomorphisms as injective module

Published on 22 Feb 2026 - 23:09

702

Views

Is $\mathbb{Z}_{p^\infty}$ a divisible group?

Published on 22 Feb 2026 - 23:06

289

Views

Dieudonné module associated to the dual of a $p$-divisible group

Published on 14 Mar 2020 - 10:16

107

Views

$\mathbb{Z}_p$ has cohomological dimension 1

Published on 16 Mar 2020 - 13:04

374

Views

If $M$ and $N$ are divisible, abelian groups, show that their tensor product $M \otimes_\mathbb{Z} N$ is uniquely divisible

Published on 04 Apr 2020 - 6:30

50

Views

Explanation on examples of non-divisible module

Published on 28 May 2020 - 21:15

List Question

Does every ordered divisible abelian group admit an expansion (and how many) to an ordered field?

Show that $Q_p / \mathbb Z$ is divisible as $\mathbb Z$-module.

Homomorphism from divisible group to finite group is always trivial

Largest divisible subgroup of an abelian group

Divisibility 1,2,3,4,5,6,7,8,9,&10

Relationship between Archimedean and Divisible ordered groups

Irreducible subgroups of the additive rationals

A group is divisible if and only if it has no maximal subgroup ?

Example of divisible direct product but not the direct sum

On set of all $Z$-module homomorphisms as injective module

Is $\mathbb{Z}_{p^\infty}$ a divisible group?

Dieudonné module associated to the dual of a $p$-divisible group

$\mathbb{Z}_p$ has cohomological dimension 1

If $M$ and $N$ are divisible, abelian groups, show that their tensor product $M \otimes_\mathbb{Z} N$ is uniquely divisible

Explanation on examples of non-divisible module

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