List questions from abelian-groups

Published on 01 Mar 2018 - 7:16

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Prove that $G = \{a+b\sqrt{2}\}$ is an abelian group

Published on 01 Mar 2018 - 14:16

314

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Metabelian—the derived subgroup of the product of two Abelian groups

Published on 01 Mar 2018 - 14:33

296

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Abelian subgroup contained in a normal subgroup; a trick about elements of order $3$

Published on 02 Mar 2018 - 10:58

449

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Proof verification: For isomorphism $\phi: G\to H$, $G$ is abelian iff $H$ is abelian.

Published on 02 Mar 2018 - 22:01

27

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Is $m$ divisable by the order of $g$?

Published on 04 Mar 2018 - 3:04

266

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A question about the proof of Ito's theorem (Metabelian)

Published on 04 Mar 2018 - 15:12

43

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Non-Abelian Lie Group from Abelian Group

Published on 05 Mar 2018 - 2:40

106

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Prove that this group is an abelian group

Published on 05 Mar 2018 - 5:12

83

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Where is the error in this proof? (possibly bad surjection assumption)

Published on 06 Mar 2018 - 0:33

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Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

Published on 08 Mar 2018 - 3:53

69

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Generating Prüfer 2-group without its Frattini Subgroup

Published on 22 Mar 2026 - 15:31

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Is every torsion-free abelian group isomorphic to $\mathbb{Z}^n$?

Published on 09 Mar 2018 - 12:28

29

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Symmetric Group Acting on homocyclic groups

Published on 22 Mar 2026 - 20:49

454

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Groups: n in Additive Notation

Published on 10 Mar 2018 - 19:20

List Question

The number of internal direct summands of a finitely generated abelian group

Prove that $G = \{a+b\sqrt{2}\}$ is an abelian group

Metabelian—the derived subgroup of the product of two Abelian groups

Abelian subgroup contained in a normal subgroup; a trick about elements of order $3$

Proof verification: For isomorphism $\phi: G\to H$, $G$ is abelian iff $H$ is abelian.

Is $m$ divisable by the order of $g$?

A question about the proof of Ito's theorem (Metabelian)

Non-Abelian Lie Group from Abelian Group

Prove that this group is an abelian group

Where is the error in this proof? (possibly bad surjection assumption)

Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

Generating Prüfer 2-group without its Frattini Subgroup

Is every torsion-free abelian group isomorphic to $\mathbb{Z}^n$?

Symmetric Group Acting on homocyclic groups

Groups: n in Additive Notation

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