List questions from divisible-groups

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$(G,+)$ abelian group is divisible $\Longleftrightarrow$ it's an homomorphic image of $\Bbb Q^{(X)}$

Published on 23 Feb 2026 - 4:41

209

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Socle of abelian divisible periodic group

Published on 23 Feb 2026 - 4:40

511

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group law of complex torus is divisible?

Published on 23 Feb 2026 - 4:38

586

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If $G, H, K$ are divisible abelian groups and $G \oplus H \cong G \oplus K$ then $H \cong K$

Published on 23 Feb 2026 - 4:42

891

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Is $SO_n({\mathbb R})$ a divisible group?

Published on 23 Feb 2026 - 4:36

5.7k

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What are the finite order elements of $\mathbb{Q}/\mathbb{Z}$?

Published on 23 Feb 2026 - 4:39

76

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universal nonabelian divisible group

Published on 23 Feb 2026 - 4:35

330

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Divisible groups, exercise from Rotman's theory of groups

Published on 23 Feb 2026 - 4:38

494

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Isomorphism between $\mathbb{T}$ and $\mathbb{R} \oplus \mathbb{Q}/\mathbb{Z}$.

Published on 23 Feb 2026 - 4:37

202

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If every nonzero quotient of $G$ is infinite, then $G$ is divisible

Published on 23 Feb 2026 - 4:41

1.6k

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Subgroups of finite index in divisible group

Published on 01 Apr 2026 - 16:43

90

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T.Y. Lam's divisible module definition and factor modules.

Published on 23 Feb 2026 - 4:35

421

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Find common number divisible by six different numbers

Published on 23 Feb 2026 - 4:37

174

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An abelian, characteristically simple group is divisible (supposedly).

Published on 23 Feb 2026 - 4:38

50

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Divisible totally ordered additive abelian groups

Published on 23 Feb 2026 - 4:34

List Question

$(G,+)$ abelian group is divisible $\Longleftrightarrow$ it's an homomorphic image of $\Bbb Q^{(X)}$

Socle of abelian divisible periodic group

group law of complex torus is divisible?

If $G, H, K$ are divisible abelian groups and $G \oplus H \cong G \oplus K$ then $H \cong K$

Is $SO_n({\mathbb R})$ a divisible group?

What are the finite order elements of $\mathbb{Q}/\mathbb{Z}$?

universal nonabelian divisible group

Divisible groups, exercise from Rotman's theory of groups

Isomorphism between $\mathbb{T}$ and $\mathbb{R} \oplus \mathbb{Q}/\mathbb{Z}$.

If every nonzero quotient of $G$ is infinite, then $G$ is divisible

Subgroups of finite index in divisible group

T.Y. Lam's divisible module definition and factor modules.

Find common number divisible by six different numbers

An abelian, characteristically simple group is divisible (supposedly).

Divisible totally ordered additive abelian groups

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