List questions from normal-subgroups

233

Views

How to show that the normalizer N of a Sylow $p$-subgroup P of $S_p$ in $S_p$ is the affine linear group AGL(1,$p$)?

Published on 09 Sep 2014 - 3:35

65

Views

Normal subgroup of a finite group

Published on 11 Sep 2014 - 7:12

224

Views

On non-trivial normal subgroup(s) of $A(S)$ , where $S$ is infinite

Published on 11 Sep 2014 - 12:57

71

Views

How to show $F(S)$ is normal in Sym$(S)$

Published on 27 Mar 2026 - 22:02

80

Views

Equivalence of Nilpotence in group

Published on 25 Mar 2026 - 11:06

390

Views

What is an example of a proper normal subgroup of the kernel of a homomorphism?

Published on 14 Sep 2014 - 23:09

391

Views

$N$ a normal subgroup of $G$ with $|G|$ odd and $|N|=5$ satisfies $N \subset Z(G)$

Published on 16 Sep 2014 - 2:20

118

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Is this set a generating set for this (normal) subgroup?

Published on 16 Sep 2014 - 12:04

198

Views

Sylow subgroups problem

Published on 27 Mar 2026 - 1:14

336

Views

Normal subgroup and index problem

Published on 18 Sep 2014 - 23:29

146

Views

$(\mathbb C^{\times}, \cdot)$ is a subgroup of $(GL(n,\mathbb C), \cdot)$

Published on 19 Sep 2014 - 7:58

80

Views

Subgroups and justification

Published on 20 Sep 2014 - 16:01

383

Views

Finite normal subgroup and subgroup test

Published on 24 Sep 2014 - 0:49

58

Views

Example of group with normal subgroup $N\ne\{e\}$ such that $N \cap Z(G)= \{ e\} $ and $G $ \ $ N$ contains an element of order more than $2$

Published on 25 Sep 2014 - 13:58

1.7k

Views

Group of order $1575$ problem

Published on 27 Sep 2014 - 18:11

List Question

How to show that the normalizer N of a Sylow $p$-subgroup P of $S_p$ in $S_p$ is the affine linear group AGL(1,$p$)?

Normal subgroup of a finite group

On non-trivial normal subgroup(s) of $A(S)$ , where $S$ is infinite

How to show $F(S)$ is normal in Sym$(S)$

Equivalence of Nilpotence in group

What is an example of a proper normal subgroup of the kernel of a homomorphism?

$N$ a normal subgroup of $G$ with $|G|$ odd and $|N|=5$ satisfies $N \subset Z(G)$

Is this set a generating set for this (normal) subgroup?

Sylow subgroups problem

Normal subgroup and index problem

$(\mathbb C^{\times}, \cdot)$ is a subgroup of $(GL(n,\mathbb C), \cdot)$

Subgroups and justification

Finite normal subgroup and subgroup test

Example of group with normal subgroup $N\ne\{e\}$ such that $N \cap Z(G)= \{ e\} $ and $G $ \ $ N$ contains an element of order more than $2$

Group of order $1575$ problem

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