Question

Applying the fundamental theorem of finitely generated abelian groups to the group $\Bbb Z^3/((1,0,3),(-1,2,1))$

score 279 · Answer 1 · 2026-03-26 11:01:12

279

Views

Applying the fundamental theorem of finitely generated abelian groups to the group $\Bbb Z^3/((1,0,3),(-1,2,1))$

Published on 26 Mar 2026 - 11:01

score 222 · Answer 2 · 2026-03-30 04:40:54

222

Views

Preimage of cyclic subgroup under projection is Abelian

Published on 30 Mar 2026 - 4:40

score 175 · Answer 3 · 2026-03-27 13:25:31

175

Views

Additivity of Rank of an Abelian group

Published on 27 Mar 2026 - 13:25

score 423 · Answer 4 · 2020-05-03 07:35:44

423

Views

Computing $\textrm{Ext}(\mathbb{Z}_m , \mathbb{Z}_n)$

Published on 03 May 2020 - 7:35

score 194 · Answer 5 · 2020-05-04 21:38:30

194

Views

Direct product and inverse element of Group

Published on 04 May 2020 - 21:38

score 61 · Answer 6 · 2026-03-30 06:11:53

61

Views

Prove if there is a group whose order is $p^2$,and it is non-abelian, then it is cyclic

Published on 30 Mar 2026 - 6:11

score 214 · Answer 7 · 2026-03-30 03:54:50

214

Views

Explicitly describing the subgroups of $\mathbb{Z}^{3}$

Published on 30 Mar 2026 - 3:54

score 42 · Answer 8 · 2020-05-06 09:50:35

42

Views

How to prove $A \cong \langle a \rangle \oplus A / \langle a \rangle $ for abelian group?

Published on 06 May 2020 - 9:50

score 73 · Answer 9 · 2020-05-06 10:06:12

73

Views

Extending a map $\langle a \rangle \to \mathbb{Q}/\mathbb{Z}$ to $A \to \mathbb{Q}/\mathbb{Z}$ for $A$ an abelian group

Published on 06 May 2020 - 10:06

score 70 · Answer 10 · 2026-03-26 14:22:56

70

Views

Which of the following are true about the group $\Bbb{Z}_6×\Bbb{Z}_9×\Bbb{Z}_{15}/\langle(5,5,3)\rangle$?

Published on 26 Mar 2026 - 14:22

score 360 · Answer 11 · 2026-03-25 14:25:26

360

Views

Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

Published on 25 Mar 2026 - 14:25

score 90 · Answer 12 · 2026-03-26 14:22:51

90

Views

If $a,b$ are permutations of $S_8$ and $G=\langle a,b\rangle$ and $N=\langle a^2,b^2\rangle$. How can I prove that $G/N$ is abelian?

Published on 26 Mar 2026 - 14:22

score 623 · Answer 13 · 2026-03-30 07:09:21

623

Views

Is there a simple formula for the number of subgroups of index 2 of $\mathbb{Z}_2^n$?

Published on 30 Mar 2026 - 7:09

score 858 · Answer 14 · 2026-03-26 14:22:56

858

Views

If $H_1$ and $H_2$ are isomorphic normal subgroups of $G$, when do we have an isomorphism between $G/H_1$ and $G/H_2$?

Published on 26 Mar 2026 - 14:22

score 498 · Answer 15 · 2020-05-10 20:14:10

498

Views

If $\mathbb Q \otimes_\mathbb Z \mathbb Q \cong \mathbb Q^\mathbb N$, why is $\mathbb Q \otimes_\mathbb Z \mathbb Q$ a $1$-dim $\mathbb Q$-v.s.

Published on 10 May 2020 - 20:14

List Question

Applying the fundamental theorem of finitely generated abelian groups to the group $\Bbb Z^3/((1,0,3),(-1,2,1))$

Preimage of cyclic subgroup under projection is Abelian

Additivity of Rank of an Abelian group

Computing $\textrm{Ext}(\mathbb{Z}_m , \mathbb{Z}_n)$

Direct product and inverse element of Group

Prove if there is a group whose order is $p^2$,and it is non-abelian, then it is cyclic

Explicitly describing the subgroups of $\mathbb{Z}^{3}$

How to prove $A \cong \langle a \rangle \oplus A / \langle a \rangle $ for abelian group?

Extending a map $\langle a \rangle \to \mathbb{Q}/\mathbb{Z}$ to $A \to \mathbb{Q}/\mathbb{Z}$ for $A$ an abelian group

Which of the following are true about the group $\Bbb{Z}_6×\Bbb{Z}_9×\Bbb{Z}_{15}/\langle(5,5,3)\rangle$?

Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

If $a,b$ are permutations of $S_8$ and $G=\langle a,b\rangle$ and $N=\langle a^2,b^2\rangle$. How can I prove that $G/N$ is abelian?

Is there a simple formula for the number of subgroups of index 2 of $\mathbb{Z}_2^n$?

If $H_1$ and $H_2$ are isomorphic normal subgroups of $G$, when do we have an isomorphism between $G/H_1$ and $G/H_2$?

If $\mathbb Q \otimes_\mathbb Z \mathbb Q \cong \mathbb Q^\mathbb N$, why is $\mathbb Q \otimes_\mathbb Z \mathbb Q$ a $1$-dim $\mathbb Q$-v.s.

Trending Questions

Popular # Hahtags

Popular Questions