List questions from abelian-groups

Published on 25 Mar 2026 - 11:09

711

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An abelian group as an $\mathbb F_2$-vector space

Published on 18 Jul 2018 - 4:24

157

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How to find $(\mathbb Z/12\times \mathbb Z/12)/\left<(a^4,a^6)\right>$?

Published on 25 Mar 2026 - 9:38

102

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Characters of a finite abelian group of order $5$

Published on 23 Jul 2018 - 17:27

86

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Dual of a vector space coming from a lattice

Published on 26 Jul 2018 - 13:05

233

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$p$-localization and $p$-completion of a finite group coincide.

Published on 27 Jul 2018 - 13:03

498

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Finite $p$-group with cyclic abelianization is abelian

Published on 27 Jul 2018 - 18:05

57

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On isomorphism of quotient groups of free abelian groups of finite rank

Published on 22 Mar 2026 - 21:22

257

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Totally ordered abelian group with a unique " isolated subgroup"

Published on 25 Mar 2026 - 9:01

102

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Show that $S=\mathbb{R}\setminus \left \{-1 \right \}$ is abelian.

Published on 02 Aug 2018 - 22:05

591

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Finite abelian groups whose subgroups of the same order are all isomorphic

Published on 03 Aug 2018 - 4:30

3.6k

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Example of two subgroups $H$ and $K$ of a non-abelian group $G$ such that $HK$ is not a subgroup of $G$?

Published on 04 Aug 2018 - 1:02

1.6k

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Prove that is group is abelian

Published on 04 Aug 2018 - 6:36

59

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Is the group generated by $f(x)= x+2^{\nu_2(2x)}$ and $g(x)=2x$ a 2-dimensional affine space on $\Bbb Z[\frac12]\setminus 0$?

Published on 25 Mar 2026 - 15:42

447

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A group with an infinite cyclic normal subgroup that has a finite cyclic quotient is abelian

Published on 13 Aug 2018 - 7:16

List Question

When is the group abelian?

An abelian group as an $\mathbb F_2$-vector space

How to find $(\mathbb Z/12\times \mathbb Z/12)/\left<(a^4,a^6)\right>$?

Characters of a finite abelian group of order $5$

Dual of a vector space coming from a lattice

$p$-localization and $p$-completion of a finite group coincide.

Finite $p$-group with cyclic abelianization is abelian

On isomorphism of quotient groups of free abelian groups of finite rank

Totally ordered abelian group with a unique " isolated subgroup"

Show that $S=\mathbb{R}\setminus \left \{-1 \right \}$ is abelian.

Finite abelian groups whose subgroups of the same order are all isomorphic

Example of two subgroups $H$ and $K$ of a non-abelian group $G$ such that $HK$ is not a subgroup of $G$?

Prove that is group is abelian

Is the group generated by $f(x)= x+2^{\nu_2(2x)}$ and $g(x)=2x$ a 2-dimensional affine space on $\Bbb Z[\frac12]\setminus 0$?

A group with an infinite cyclic normal subgroup that has a finite cyclic quotient is abelian

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