Question

How do the elements of $(G\times G) /D$ look like? $D:=\{(g,g)\in G\times G\}$ and $G$ is abelian

score 49 · Answer 1 · 2019-02-01 18:44:30

49

Views

How do the elements of $(G\times G) /D$ look like? $D:=\{(g,g)\in G\times G\}$ and $G$ is abelian

Published on 01 Feb 2019 - 18:44

score 28 · Answer 2 · 2019-02-01 22:55:28

28

Views

Given $k$, for every $n>1$, constructing a set of size $n$ of non-zero integers having gcd $k$ so that no proper subset has gcd $k$

Published on 01 Feb 2019 - 22:55

score 521 · Answer 3 · 2026-03-25 20:52:46

521

Views

Abelian Group In The Middle Of A Short Exact Sequence

Published on 25 Mar 2026 - 20:52

score 1.7k · Answer 4 · 2026-03-25 19:06:20

1.7k

Views

An abelian group $G$ is free abelian if and only if satisfies the projective property

Published on 25 Mar 2026 - 19:06

score 150 · Answer 5 · 2026-03-25 14:55:35

150

Views

Direct sum of subgroups of $\mathbb{Q}^n$ with $\mathbb{Q}$ is a Borel map - Self study

Published on 25 Mar 2026 - 14:55

score 597 · Answer 6 · 2019-02-02 17:27:59

597

Views

Excercise with the normal subgroup $K$ of $G$ with $K:=\bigcap\{H \text{ subgroup of } G: \forall_{x,y\in G}:xyx^{-1}y^{-1}\in H\}$

Published on 02 Feb 2019 - 17:27

score 105 · Answer 7 · 2019-02-02 22:47:08

105

Views

Converse of Theorem Proof/Counterexample

Published on 02 Feb 2019 - 22:47

score 161 · Answer 8 · 2019-02-04 18:59:08

161

Views

Center of non-abelian group of order $17^4$

Published on 04 Feb 2019 - 18:59

score 232 · Answer 9 · 2019-02-05 08:12:50

232

Views

dual isomorphism

Published on 05 Feb 2019 - 8:12

score 54 · Answer 10 · 2019-02-07 16:10:00

54

Views

Are $\mathbb{Z}$ and $\mathbb{Z}_n$ the only rings (with identity) whose modules are equivalent to abelian groups?

Published on 07 Feb 2019 - 16:10

score 7.5k · Answer 11 · 2026-03-26 02:57:49

7.5k

Views

What is the order of the subgroup $\langle 5\rangle \times \langle 3\rangle$ in $Z_{30} \times Z_{12} ?$

Published on 26 Mar 2026 - 2:57

score 75 · Answer 12 · 2026-03-20 05:53:46

75

Views

Prove that if $|A+A| \leq K|A|$ then $2A - 2A$ is a $K^{16}$-approximate group.

Published on 20 Mar 2026 - 5:53

score 72 · Answer 13 · 2019-02-13 10:09:17

72

Views

Epimorphism between abelian groups

Published on 13 Feb 2019 - 10:09

score 1.3k · Answer 14 · 2026-03-25 09:27:02

1.3k

Views

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2$

Published on 25 Mar 2026 - 9:27

score 103 · Answer 15 · 2026-03-25 11:02:24

103

Views

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2 $

Published on 25 Mar 2026 - 11:02

List Question

How do the elements of $(G\times G) /D$ look like? $D:=\{(g,g)\in G\times G\}$ and $G$ is abelian

Given $k$, for every $n>1$, constructing a set of size $n$ of non-zero integers having gcd $k$ so that no proper subset has gcd $k$

Abelian Group In The Middle Of A Short Exact Sequence

An abelian group $G$ is free abelian if and only if satisfies the projective property

Direct sum of subgroups of $\mathbb{Q}^n$ with $\mathbb{Q}$ is a Borel map - Self study

Excercise with the normal subgroup $K$ of $G$ with $K:=\bigcap\{H \text{ subgroup of } G: \forall_{x,y\in G}:xyx^{-1}y^{-1}\in H\}$

Converse of Theorem Proof/Counterexample

Center of non-abelian group of order $17^4$

dual isomorphism

Are $\mathbb{Z}$ and $\mathbb{Z}_n$ the only rings (with identity) whose modules are equivalent to abelian groups?

What is the order of the subgroup $\langle 5\rangle \times \langle 3\rangle$ in $Z_{30} \times Z_{12} ?$

Prove that if $|A+A| \leq K|A|$ then $2A - 2A$ is a $K^{16}$-approximate group.

Epimorphism between abelian groups

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2$

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2 $

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