Question

How to show $D_3\oplus D_4$ is not isomorphic to $D_{24}$?

score 98 · Answer 1 · 2026-05-10 14:07:09

98

Views

How to show $D_3\oplus D_4$ is not isomorphic to $D_{24}$?

Published on 10 May 2026 - 14:07

score 93 · Answer 2 · 2026-04-10 16:25:11

93

Views

Is there a nice way to use the group isomorphism theorems in this proof?

Published on 10 Apr 2026 - 16:25

score 88 · Answer 3 · 2026-05-10 15:52:35

88

Views

If there exists an epimorphism from a group $G_1$ to $G_2$ that is not one-to-one, then can $G_1$ and $G_2$ be isomorphic?

Published on 10 May 2026 - 15:52

score 2k · Answer 4 · 2026-05-11 05:46:17

2k

Views

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Published on 11 May 2026 - 5:46

score 96 · Answer 5 · 2026-04-08 19:02:50

96

Views

Prove $G/H \cong (\mathbb{R}-\{0\})\times(\mathbb{R}-\{0\})$

Published on 08 Apr 2026 - 19:02

score 48 · Answer 6 · 2026-04-16 20:41:58

48

Views

Number of subgroups of $S_6$ isomorphic to $C_3\times C_3$

Published on 16 Apr 2026 - 20:41

score 111 · Answer 7 · 2026-04-11 11:46:27

111

Views

Property of isomorphism

Published on 11 Apr 2026 - 11:46

score 45 · Answer 8 · 2026-04-13 10:47:08

45

Views

Isomorphism on spanned lattice

Published on 13 Apr 2026 - 10:47

score 49 · Answer 9 · 2026-04-11 12:40:50

49

Views

Proving isomorphism using Cayley

Published on 11 Apr 2026 - 12:40

score 38 · Answer 10 · 2026-04-15 09:34:01

38

Views

isomorphism of normal subgroup

Published on 15 Apr 2026 - 9:34

score 643 · Answer 11 · 2026-05-10 17:16:48

643

Views

Is $S_4 \times C_2$ isomorphic to $(C_2 \times C_2 \times C_2) \rtimes S_3$

Published on 10 May 2026 - 17:16

score 124 · Answer 12 · 2026-05-14 07:46:20

124

Views

Prove $G/(M\cap N) \cong M/(M\cap N) \times N/(M\cap N)$ where $G=MN$ and $M,N\triangleleft G$

Published on 14 May 2026 - 7:46

score 343 · Answer 13 · 2026-04-15 14:16:29

343

Views

There are only two groups of order six, up to isomorphism: $\mathbb Z_6$ and $S_3$.

Published on 15 Apr 2026 - 14:16

score 1k · Answer 14 · 2026-05-10 15:22:13

1k

Views

Finding Homomorphisms from dihedral groups to cyclical groups

Published on 10 May 2026 - 15:22

score 46 · Answer 15 · 2026-04-15 14:11:42

46

Views

$G$ be a group where $G= \mathbb{Z}_6 \oplus \mathbb{Z}_8$ and the normal subgroup $H=\langle(2,4)\rangle$ use orders of elements to determine...

Published on 15 Apr 2026 - 14:11

List Question

How to show $D_3\oplus D_4$ is not isomorphic to $D_{24}$?

Is there a nice way to use the group isomorphism theorems in this proof?

If there exists an epimorphism from a group $G_1$ to $G_2$ that is not one-to-one, then can $G_1$ and $G_2$ be isomorphic?

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Prove $G/H \cong (\mathbb{R}-\{0\})\times(\mathbb{R}-\{0\})$

Number of subgroups of $S_6$ isomorphic to $C_3\times C_3$

Property of isomorphism

Isomorphism on spanned lattice

Proving isomorphism using Cayley

isomorphism of normal subgroup

Is $S_4 \times C_2$ isomorphic to $(C_2 \times C_2 \times C_2) \rtimes S_3$

Prove $G/(M\cap N) \cong M/(M\cap N) \times N/(M\cap N)$ where $G=MN$ and $M,N\triangleleft G$

There are only two groups of order six, up to isomorphism: $\mathbb Z_6$ and $S_3$.

Finding Homomorphisms from dihedral groups to cyclical groups

$G$ be a group where $G= \mathbb{Z}_6 \oplus \mathbb{Z}_8$ and the normal subgroup $H=\langle(2,4)\rangle$ use orders of elements to determine...

Trending Questions

Popular # Hahtags

Popular Questions