Question

Isomorphism relation in $Hom(\mathbb{Z}_6,\mathbb{R}^\oplus\mathbb{C}^)?$

score 37 · Answer 1 · 2026-03-26 09:49:19

37

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Isomorphism relation in $Hom(\mathbb{Z}_6,\mathbb{R}^\oplus\mathbb{C}^)?$

Published on 26 Mar 2026 - 9:49

score 99 · Answer 2 · 2026-03-25 20:52:50

99

Views

What is $Ext^1(\overline{\mathbb{Q}}^\times, \overline{\mathbb{Q}})$ in abelian groups?

Published on 25 Mar 2026 - 20:52

score 370 · Answer 3 · 2026-03-25 09:48:33

370

Views

Category of Abelian Groups: Limits

Published on 25 Mar 2026 - 9:48

score 183 · Answer 4 · 2019-01-22 09:25:50

183

Views

Prove or disprove. Let $G$ be an abelian group. Let $N \triangleleft G$. Then, $ G\cong N \times G/N. $

Published on 22 Jan 2019 - 9:25

score 139 · Answer 5 · 2019-01-23 19:14:07

139

Views

Let $V$ and $W$ be real representations of a torus $T$ s.t. $\dim V^H=\dim W^H$, $\forall H<T$. Show that $V\simeq W$

Published on 23 Jan 2019 - 19:14

score 904 · Answer 6 · 2019-01-25 18:06:06

904

Views

Commutator subgroup of cyclic group

Published on 25 Jan 2019 - 18:06

score 116 · Answer 7 · 2019-01-28 01:13:17

116

Views

Does it make sense to say that "there are more non-Abelian groups than Abelian groups"?

Published on 28 Jan 2019 - 1:13

score 101 · Answer 8 · 2026-02-23 03:01:17

If $x^3, y^3$ commute for all $x, y\in G$, show that $H=\{h\in G|(|h|,3)=1\}$ is an abelian subgroup of $G$. What happens if $3\mapsto n\in\Bbb N$?

score 168 · Answer 9 · 2026-03-25 09:28:54

168

Views

Torsion-free abelian groups of finite rank and a subgroup of finite index (Fuchs' problem) - self study

Published on 25 Mar 2026 - 9:28

score 1.3k · Answer 10 · 2019-01-30 05:51:10

1.3k

Views

What is the difference between a free Abelian group (of say a finite basis) and a finitely generated Abelian group?

Published on 30 Jan 2019 - 5:51

score 141 · Answer 11 · 2026-03-25 17:44:39

141

Views

Why is $Z^n/AZ^n \cong Z/d_1Z\oplus Z/d_2Z..$ where $d_i$ are the entries of normal form of A?

Published on 25 Mar 2026 - 17:44

score 70 · Answer 12 · 2026-03-25 17:39:19

70

Views

Dimension of span of a finitely generated subgroup

Published on 25 Mar 2026 - 17:39

score 107 · Answer 13 · 2019-01-31 14:31:41

107

Views

Confused at to why $\prod_{g \in G}g^2=e$

Published on 31 Jan 2019 - 14:31

score 113 · Answer 14 · 2019-01-31 17:54:07

113

Views

On the dual group of the group of units of commutative ring

Published on 31 Jan 2019 - 17:54

score 161 · Answer 15 · 2026-03-25 09:28:33

161

Views

Character group of torsion-free abelian group

Published on 25 Mar 2026 - 9:28

List Question

Isomorphism relation in $Hom(\mathbb{Z}_6,\mathbb{R}^\oplus\mathbb{C}^)?$

What is $Ext^1(\overline{\mathbb{Q}}^\times, \overline{\mathbb{Q}})$ in abelian groups?

Category of Abelian Groups: Limits

Prove or disprove. Let $G$ be an abelian group. Let $N \triangleleft G$. Then, $ G\cong N \times G/N. $

Let $V$ and $W$ be real representations of a torus $T$ s.t. $\dim V^H=\dim W^H$, $\forall H<T$. Show that $V\simeq W$

Commutator subgroup of cyclic group

Does it make sense to say that "there are more non-Abelian groups than Abelian groups"?

If $x^3, y^3$ commute for all $x, y\in G$, show that $H=\{h\in G|(|h|,3)=1\}$ is an abelian subgroup of $G$. What happens if $3\mapsto n\in\Bbb N$?

Torsion-free abelian groups of finite rank and a subgroup of finite index (Fuchs' problem) - self study

What is the difference between a free Abelian group (of say a finite basis) and a finitely generated Abelian group?

Why is $Z^n/AZ^n \cong Z/d_1Z\oplus Z/d_2Z..$ where $d_i$ are the entries of normal form of A?

Dimension of span of a finitely generated subgroup

Confused at to why $\prod_{g \in G}g^2=e$

On the dual group of the group of units of commutative ring

Character group of torsion-free abelian group

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