What are the normal subgroups of symmetric groups?
123677
Normal subgroups of infinite symmetric group
41709
Show that the symmetric group $S_p = $, where $\sigma$ is any transposition and $\tau$ is any p- cycle and p is a prime number.
70373
Intersection of normal subgroups proof
23941
Normal Subgroups that Intersect Trivially
2174
Proving that HK is a subgroup when K is normal
15396
Enumerating all subgroups of the symmetric group
4883
Let $H$ be a subgroup of a group $G$ such that $x^2 \in H$ , $\forall x\in G$ . Prove that $H$ is a normal subgroup of $G$
7973
Groups of order $pq$ have a proper normal subgroup
22444
Normal subgroups of dihedral groups
14255
Commutator subgroup and cyclic normal subgroup
58694
Which non-abelian finite groups have the property that every subgroup is normal?
73113
Groups and Symmetries
22477
If H is a subgroup of a group G and K is a normal subgroup of G the show that K is a normal subgroup of HK.
43651
Normal subgroups and factor groups
58251
To show every sylow p-subgroup is normal in G
36040
A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?