Question

Accurate description of the difference between the centralizer and the normalizer of a set $S$ in a group $G$?

score 215 · Answer 1 · 2019-08-31 21:45:39

215

Views

Accurate description of the difference between the centralizer and the normalizer of a set $S$ in a group $G$?

Published on 31 Aug 2019 - 21:45

score 715 · Answer 2 · 2026-03-27 14:55:12

715

Views

If $G=HK$, $H,K$ are normal in $G$, and $H\cap K=\{e\}$ then $G$ is abelian

Published on 27 Mar 2026 - 14:55

score 114 · Answer 3 · 2026-03-25 06:31:42

114

Views

Are free groups residually simple?

Published on 25 Mar 2026 - 6:31

score 951 · Answer 4 · 2019-09-05 10:24:45

951

Views

Classify all subgroups of $\Bbb Z.$ Show that all but one of these are isomorphic to $\Bbb Z$ itself.

Published on 05 Sep 2019 - 10:24

score 515 · Answer 5 · 2019-09-05 10:32:28

515

Views

How to show that a group $G$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

Published on 05 Sep 2019 - 10:32

score 89 · Answer 6 · 2019-09-07 15:03:21

89

Views

Erdos-Turan theorem for normal subgroups?

Published on 07 Sep 2019 - 15:03

score 356 · Answer 7 · 2019-09-11 11:05:24

356

Views

The subgroup on which, a normalizer is defined is a normal subgroup.

Published on 11 Sep 2019 - 11:05

score 84 · Answer 8 · 2019-09-12 10:40:02

84

Views

Show that $G$ = $(\mathbb Z_3 × \mathbb Z_4, +)$ is cyclic

Published on 12 Sep 2019 - 10:40

score 334 · Answer 9 · 2019-09-14 00:06:26

334

Views

Intermediate Normal Extensions and Galois Correspondence

Published on 14 Sep 2019 - 0:06

score 38 · Answer 10 · 2019-09-17 18:25:47

38

Views

About a normal subgroup

Published on 17 Sep 2019 - 18:25

score 201 · Answer 11 · 2019-09-18 19:26:09

201

Views

If $H$ and $K$ are conjugate in $G$, are their normalizers equal, or just isomorphic?

Published on 18 Sep 2019 - 19:26

score 238 · Answer 12 · 2026-03-25 07:48:19

238

Views

Free normal subgroup of an HNN-extension

Published on 25 Mar 2026 - 7:48

score 444 · Answer 13 · 2026-03-25 12:50:15

444

Views

Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it?

Published on 25 Mar 2026 - 12:50

score 405 · Answer 14 · 2019-09-26 23:02:48

405

Views

Existence of a subgroup $H$ of a finite group $G$ with $|H|>\sqrt{|G|}$

Published on 26 Sep 2019 - 23:02

score 956 · Answer 15 · 2019-09-27 20:28:16

956

Views

If the order of a non abelian group $G$ is $39$, then find all normal subgroup in $G$.

Published on 27 Sep 2019 - 20:28

List Question

Accurate description of the difference between the centralizer and the normalizer of a set $S$ in a group $G$?

If $G=HK$, $H,K$ are normal in $G$, and $H\cap K=\{e\}$ then $G$ is abelian

Are free groups residually simple?

Classify all subgroups of $\Bbb Z.$ Show that all but one of these are isomorphic to $\Bbb Z$ itself.

How to show that a group $G$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

Erdos-Turan theorem for normal subgroups?

The subgroup on which, a normalizer is defined is a normal subgroup.

Show that $G$ = $(\mathbb Z_3 × \mathbb Z_4, +)$ is cyclic

Intermediate Normal Extensions and Galois Correspondence

About a normal subgroup

If $H$ and $K$ are conjugate in $G$, are their normalizers equal, or just isomorphic?

Free normal subgroup of an HNN-extension

Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it?

Existence of a subgroup $H$ of a finite group $G$ with $|H|>\sqrt{|G|}$

If the order of a non abelian group $G$ is $39$, then find all normal subgroup in $G$.

Trending Questions

Popular # Hahtags

Popular Questions