List questions from abelian-groups

Published on 11 May 2018 - 16:29

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proof that special orthogonal group SO(2) is abelian group

Published on 12 May 2018 - 12:03

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Abstract properties of the absolute Galois group over $\mathbb{Q}$

Published on 15 May 2018 - 10:22

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Is it only the generator of the group that commutes with all the other elements?

Published on 25 Mar 2026 - 11:03

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Why is every conjugacy class of an abelian group composed of a single element?

Published on 18 May 2018 - 18:14

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About conjugation class functions in abelian groups.

Published on 19 May 2018 - 16:42

41

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Every $f \in L^{1}(G)$ is product of two of $L^{2}(G)$

Published on 21 May 2018 - 11:19

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Homomorphism between free groups induced by group homomorphism of abelian groups.

Published on 25 Mar 2026 - 7:52

107

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On totally ordered abelian groups having exactly one convex subgroup

Published on 25 Mar 2026 - 10:43

32

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Coefficients of function on finite abelian group

Published on 25 Mar 2026 - 1:16

248

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Finitely-generated abelian groups in a long exact sequence

Published on 25 Mar 2026 - 9:53

23

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Plane symmetries of this shape

Published on 26 May 2018 - 18:55

215

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Can one distinguish finite groups by their maps from abelian groups?

Published on 27 May 2018 - 12:11

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Do both versions (invariant and primary) of the Fundamental Theorem for Finitely Generated Abelian Groups hold at the same time?

Published on 27 May 2018 - 12:59

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Prove that $H = \langle a, b \rangle$ is a subgroup of $G$.

Published on 27 May 2018 - 15:29

List Question

Show that $\operatorname{Gal}((x^{8}-1)/(x-1))$ is abelian.

proof that special orthogonal group SO(2) is abelian group

Abstract properties of the absolute Galois group over $\mathbb{Q}$

Is it only the generator of the group that commutes with all the other elements?

Why is every conjugacy class of an abelian group composed of a single element?

About conjugation class functions in abelian groups.

Every $f \in L^{1}(G)$ is product of two of $L^{2}(G)$

Homomorphism between free groups induced by group homomorphism of abelian groups.

On totally ordered abelian groups having exactly one convex subgroup

Coefficients of function on finite abelian group

Finitely-generated abelian groups in a long exact sequence

Plane symmetries of this shape

Can one distinguish finite groups by their maps from abelian groups?

Do both versions (invariant and primary) of the Fundamental Theorem for Finitely Generated Abelian Groups hold at the same time?

Prove that $H = \langle a, b \rangle$ is a subgroup of $G$.

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