Question

Find a group isomorphic to $GL(2, \mathbb{Z}/6\mathbb{Z})$.

score 168 · Answer 1 · 2026-03-25 19:02:47

168

Views

Find a group isomorphic to $GL(2, \mathbb{Z}/6\mathbb{Z})$.

Published on 25 Mar 2026 - 19:02

score 65 · Answer 2 · 2026-03-28 06:59:49

65

Views

Find a certain group $G$ with $H,K\unlhd G$, $H\cong K$ and $(G/H)\ncong(G/K)$

Published on 28 Mar 2026 - 6:59

score 139 · Answer 3 · 2020-11-28 16:27:46

139

Views

Find which of the following groups are isomorphic

Published on 28 Nov 2020 - 16:27

score 1k · Answer 4 · 2020-11-29 18:25:16

1k

Views

Classification of countably infinite Abelian groups?

Published on 29 Nov 2020 - 18:25

score 66 · Answer 5 · 2026-04-06 21:06:53

66

Views

Number of elements in an orbit and proving isomorphism.

Published on 06 Apr 2026 - 21:06

score 25 · Answer 6 · 2020-11-30 12:12:38

25

Views

Group isomorphism construction

Published on 30 Nov 2020 - 12:12

score 27 · Answer 7 · 2020-11-30 17:15:01

27

Views

For any field $F$, prove that $\Sigma(2,F)$ is isomorphic to ${\rm Aff}(1,F)$, where $\Sigma(2,F)$ denotes the stochastic group.

Published on 30 Nov 2020 - 17:15

score 93 · Answer 8 · 2020-12-01 01:58:26

93

Views

Checking for isomorphism.

Published on 01 Dec 2020 - 1:58

score 822 · Answer 9 · 2020-12-01 08:27:01

822

Views

How to show if $G$ is a finite group and $H$, $K$ normal subgroups of $G$, then $G = HK$ if and only if $G / (H \cap K) \cong G / H \times G / K$?

Published on 01 Dec 2020 - 8:27

score 120 · Answer 10 · 2020-12-02 06:34:28

120

Views

Isomorphism $f:\mathbb{Z}/17\mathbb{Z}\times \mathbb{Z}/561\mathbb{Z} \to \mathbb{Z}/51\mathbb{Z}\times \mathbb{Z}/187\mathbb{Z}$

Published on 02 Dec 2020 - 6:34

score 161 · Answer 11 · 2020-12-04 22:43:30

161

Views

Same number or each Sylow p-subgroup $\implies$ isomorphism?

Published on 04 Dec 2020 - 22:43

score 77 · Answer 12 · 2026-03-26 22:57:52

77

Views

Show that $(\mathbb Z\oplus \mathbb Z)/(m\mathbb Z\oplus n\mathbb Z) \cong \mathbb Z_n\oplus \mathbb Z_m$

Published on 26 Mar 2026 - 22:57

score 84 · Answer 13 · 2020-12-05 10:51:15

84

Views

Compute, up to isomorphism, all groups of order $21$

Published on 05 Dec 2020 - 10:51

score 49 · Answer 14 · 2020-12-06 02:47:50

49

Views

Isomorphisms and Partitions of Permutation

Published on 06 Dec 2020 - 2:47

score 447 · Answer 15 · 2020-12-07 14:45:32

447

Views

How to prove that this is a group isomorphism?

Published on 07 Dec 2020 - 14:45

List Question

Find a group isomorphic to $GL(2, \mathbb{Z}/6\mathbb{Z})$.

Find a certain group $G$ with $H,K\unlhd G$, $H\cong K$ and $(G/H)\ncong(G/K)$

Find which of the following groups are isomorphic

Classification of countably infinite Abelian groups?

Number of elements in an orbit and proving isomorphism.

Group isomorphism construction

For any field $F$, prove that $\Sigma(2,F)$ is isomorphic to ${\rm Aff}(1,F)$, where $\Sigma(2,F)$ denotes the stochastic group.

Checking for isomorphism.

How to show if $G$ is a finite group and $H$, $K$ normal subgroups of $G$, then $G = HK$ if and only if $G / (H \cap K) \cong G / H \times G / K$?

Isomorphism $f:\mathbb{Z}/17\mathbb{Z}\times \mathbb{Z}/561\mathbb{Z} \to \mathbb{Z}/51\mathbb{Z}\times \mathbb{Z}/187\mathbb{Z}$

Same number or each Sylow p-subgroup $\implies$ isomorphism?

Show that $(\mathbb Z\oplus \mathbb Z)/(m\mathbb Z\oplus n\mathbb Z) \cong \mathbb Z_n\oplus \mathbb Z_m$

Compute, up to isomorphism, all groups of order $21$

Isomorphisms and Partitions of Permutation

How to prove that this is a group isomorphism?

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