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 14 Jan 2016 - 21:23

208

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Socle of abelian divisible periodic group

Published on 03 Jul 2013 - 20:15

510

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group law of complex torus is divisible?

Published on 14 Oct 2013 - 20:28

585

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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 02 Nov 2013 - 20:00

890

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

Published on 19 Dec 2013 - 6:23

5.7k

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

Published on 19 Dec 2013 - 7:38

75

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universal nonabelian divisible group

Published on 04 Feb 2014 - 12:07

329

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Divisible groups, exercise from Rotman's theory of groups

Published on 18 Feb 2014 - 21:01

493

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

Published on 11 Jun 2017 - 1:34

201

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

Published on 14 Aug 2017 - 4:11

1.6k

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Subgroups of finite index in divisible group

Published on 24 Sep 2012 - 2:16

89

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

Published on 09 Oct 2020 - 12:28

420

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Find common number divisible by six different numbers

Published on 12 Oct 2020 - 14:32

173

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

Published on 10 Dec 2020 - 23:07

49

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Divisible totally ordered additive abelian groups

Published on 24 Dec 2020 - 9:43

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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