List questions from abelian-groups

Published on 30 Mar 2026 - 4:41

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Show that the center $\mathcal{Z}(G) =\{g \in G ∶ ga=ag \text{ for all a} \in G\}$ is abelian

Published on 17 Apr 2020 - 1:26

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Number of elements of order $2$ in a group of order $10$.

Published on 28 Mar 2026 - 4:35

108

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Why do characters of groups have modulus $1$?

Published on 26 Mar 2026 - 7:32

71

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What does $\Phi\vert_S$ mean?

Published on 26 Mar 2026 - 17:29

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Understand abelian group theorem

Published on 22 Apr 2020 - 9:37

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First homology group of an abelian group

Published on 27 Mar 2026 - 0:59

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Basis of nonzero subgroup of free abelian group

Published on 23 Apr 2020 - 1:03

696

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Find $\text{Aut}\left(\Bbb{Z}_{15}\right)$ and express as product of cyclic groups of prime power order

Published on 23 Apr 2020 - 1:54

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Find element of Group

Published on 26 Mar 2026 - 12:33

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relationship between the structure of a finite abelian group and its subgroup structure if any?

Published on 24 Apr 2020 - 14:48

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Prove that $G$ is an Abelian group

Published on 25 Apr 2020 - 13:23

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Non-isomorphic abelian groups of order $3^2\times 5^2\times 7^2$

Published on 26 Apr 2020 - 22:39

304

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Doubt on hypothesis of universal property of direct sum

Published on 26 Mar 2026 - 4:34

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How do the images $\pi(g)$ of the canonical projection $\pi: G\to G/[a,b]$ look like?

Published on 26 Mar 2026 - 12:38

List Question

Irreducible representation of finite Abelian group

Show that the center $\mathcal{Z}(G) =\{g \in G ∶ ga=ag \text{ for all a} \in G\}$ is abelian

Number of elements of order $2$ in a group of order $10$.

Why do characters of groups have modulus $1$?

What does $\Phi\vert_S$ mean?

Understand abelian group theorem

First homology group of an abelian group

Basis of nonzero subgroup of free abelian group

Find $\text{Aut}\left(\Bbb{Z}_{15}\right)$ and express as product of cyclic groups of prime power order

Find element of Group

relationship between the structure of a finite abelian group and its subgroup structure if any?

Prove that $G$ is an Abelian group

Non-isomorphic abelian groups of order $3^2\times 5^2\times 7^2$

Doubt on hypothesis of universal property of direct sum

How do the images $\pi(g)$ of the canonical projection $\pi: G\to G/[a,b]$ look like?

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