Question

Given two subgroups is each one of them normal in the generated subgroup?

score 69 · Answer 1 · 2020-04-10 09:00:53

69

Views

Given two subgroups is each one of them normal in the generated subgroup?

Published on 10 Apr 2020 - 9:00

score 65 · Answer 2 · 2020-04-10 19:47:24

65

Views

Normal subgroup generated by a singleton

Published on 10 Apr 2020 - 19:47

score 96 · Answer 3 · 2026-03-25 23:09:04

96

Views

Semidirect product of point stabiliser and regular normal subgroup.

Published on 25 Mar 2026 - 23:09

score 355 · Answer 4 · 2020-04-13 10:12:12

H is an abelian proper subgroup of G with $H \cap gHg^{−1} = \{e\}$ for all $ g \notin H $ then $H$ is equal to centralizer of $H$ in $G$

score 2.5k · Answer 5 · 2026-03-25 06:35:45

2.5k

Views

$\{A \in GL_2(\mathbb R):|\det(A)|=1\}$ is a normal subgroup of $GL_2(\mathbb R)$

Published on 25 Mar 2026 - 6:35

score 98 · Answer 6 · 2020-04-14 09:07:09

98

Views

Conjugates of a normal subgroup of a normal subgroup

Published on 14 Apr 2020 - 9:07

score 40 · Answer 7 · 2020-04-15 05:43:15

40

Views

Can we write $G=\bigcup_{i=0}^{p-1}g^{i}N$ when N is not normal?

Published on 15 Apr 2020 - 5:43

score 108 · Answer 8 · 2020-04-18 17:52:01

108

Views

Quick question regarding the proof that the Quotient of a Soluble Groups is Soluble.

Published on 18 Apr 2020 - 17:52

score 457 · Answer 9 · 2020-04-19 06:20:36

457

Views

Let $H$ be the subgroup of $GL(n,\mathbb{R})$ such that all the elements of $H$ are upper triangular matrices

Published on 19 Apr 2020 - 6:20

score 276 · Answer 10 · 2026-03-27 06:52:03

276

Views

A normal subgroup of size 4 the group of rotational symmetries of a cube

Published on 27 Mar 2026 - 6:52

score 58 · Answer 11 · 2026-03-25 23:08:27

58

Views

When can we "multiply through" by the kernel of a homomorphism?

Published on 25 Mar 2026 - 23:08

score 47 · Answer 12 · 2020-04-20 16:15:23

47

Views

Does the closedness of a subgroup $H$ of $G$ imply that for $h\in H, g\in G \setminus H : hg \not \in H$?

Published on 20 Apr 2020 - 16:15

score 117 · Answer 13 · 2026-03-28 04:35:05

117

Views

Subnormal $\pi$-groups of a finite group $G$ are contained in $O_{\pi}(G)$

Published on 28 Mar 2026 - 4:35

score 27 · Answer 14 · 2026-03-26 12:41:08

27

Views

Aschbacher finite group theory exercise 1.6

Published on 26 Mar 2026 - 12:41

score 340 · Answer 15 · 2020-04-24 14:14:19

340

Views

Proof that given matrix form normal subgroup

Published on 24 Apr 2020 - 14:14

List Question

Given two subgroups is each one of them normal in the generated subgroup?

Normal subgroup generated by a singleton

Semidirect product of point stabiliser and regular normal subgroup.

H is an abelian proper subgroup of G with $H \cap gHg^{−1} = \{e\}$ for all $ g \notin H $ then $H$ is equal to centralizer of $H$ in $G$

$\{A \in GL_2(\mathbb R):|\det(A)|=1\}$ is a normal subgroup of $GL_2(\mathbb R)$

Conjugates of a normal subgroup of a normal subgroup

Can we write $G=\bigcup_{i=0}^{p-1}g^{i}N$ when N is not normal?

Quick question regarding the proof that the Quotient of a Soluble Groups is Soluble.

Let $H$ be the subgroup of $GL(n,\mathbb{R})$ such that all the elements of $H$ are upper triangular matrices

A normal subgroup of size 4 the group of rotational symmetries of a cube

When can we "multiply through" by the kernel of a homomorphism?

Does the closedness of a subgroup $H$ of $G$ imply that for $h\in H, g\in G \setminus H : hg \not \in H$?

Subnormal $\pi$-groups of a finite group $G$ are contained in $O_{\pi}(G)$

Aschbacher finite group theory exercise 1.6

Proof that given matrix form normal subgroup

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