List questions from abelian-groups

Published on 04 Apr 2019 - 12:18

78

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A subgroup of direct product of countable copies $\mathbb{Z}$

Published on 05 Apr 2019 - 15:37

55

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What is a simply presented group?

Published on 25 Mar 2026 - 11:10

143

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What are the elements of $\Bbb Z\oplus \Bbb Z_2$ and $\Bbb Z∗\Bbb Z_2?$

Published on 25 Mar 2026 - 14:36

450

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Prüfer Groups and Product Topologies

Published on 25 Mar 2026 - 1:21

133

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Does the Burnside $\mathbb Q$-algebra $A$ of a group depend only on $\dim_{\mathbb Q}A$?

Published on 25 Mar 2026 - 3:02

464

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Prove that $\Bbb Z\oplus \Bbb Z_2$ is not isomorphic to $\Bbb Z∗\Bbb Z_2$.

Published on 25 Mar 2026 - 14:36

45

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$|G:H|=2$ and $H$ abelian then $H \subset Z(G)$

Published on 09 Apr 2019 - 23:41

116

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Number System with Torsion

Published on 25 Mar 2026 - 23:51

806

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Let $G= \langle a \rangle$ be a cyclic group and $H$ a subgroup of $G$. Show $(G/H,*)$ is a cyclic group with generator $aH$.

Published on 10 Apr 2019 - 21:40

125

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Power automorphism of elemantary abelian group

Published on 13 Apr 2019 - 19:48

328

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What group is $\langle (1,1,1) \rangle$ in $\mathbb{Z}_5 \times \mathbb{Z}_4 \times \mathbb{Z}_8$?

Published on 14 Apr 2019 - 15:56

79

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Find $H<G$ so that $\{(x, y) | xx^{−1} y^{−1} \in H\}$ is not an equivalence relation on $G$.

Published on 14 Apr 2019 - 19:03

121

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Mapping from $\mathbb Z/2\mathbb Z \times \mathbb Z/3\mathbb Z \times \dots\times \mathbb Z/p_n\mathbb Z$ to $\mathbb Z/p_n\#\mathbb Z$.

Published on 15 Apr 2019 - 1:34

350

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How to find number of abelian subgroups of diheral group?

Published on 26 Mar 2026 - 4:36

List Question

Infinite Abelian subgroup of infinite non Abelian group example

A subgroup of direct product of countable copies $\mathbb{Z}$

What is a simply presented group?

What are the elements of $\Bbb Z\oplus \Bbb Z_2$ and $\Bbb Z∗\Bbb Z_2?$

Prüfer Groups and Product Topologies

Does the Burnside $\mathbb Q$-algebra $A$ of a group depend only on $\dim_{\mathbb Q}A$?

Prove that $\Bbb Z\oplus \Bbb Z_2$ is not isomorphic to $\Bbb Z∗\Bbb Z_2$.

$|G:H|=2$ and $H$ abelian then $H \subset Z(G)$

Number System with Torsion

Let $G= \langle a \rangle$ be a cyclic group and $H$ a subgroup of $G$. Show $(G/H,*)$ is a cyclic group with generator $aH$.

Power automorphism of elemantary abelian group

What group is $\langle (1,1,1) \rangle$ in $\mathbb{Z}_5 \times \mathbb{Z}_4 \times \mathbb{Z}_8$?

Find $H<G$ so that $\{(x, y) | xx^{−1} y^{−1} \in H\}$ is not an equivalence relation on $G$.

Mapping from $\mathbb Z/2\mathbb Z \times \mathbb Z/3\mathbb Z \times \dots\times \mathbb Z/p_n\mathbb Z$ to $\mathbb Z/p_n\#\mathbb Z$.

How to find number of abelian subgroups of diheral group?

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