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List Question

subgroups that contain a normal subgroup is also normal

Prime Ideals in Subrings

Comparing centers of group and a subgroup

Example for subgroups $H$ and $K$ where $HK = K H$ and neither $H$ nor $K$ is normal?

How to show that every group in the normal series of $G$ is normal in $G$

Lie groups with SU(12) as a subgroup

determine if a subgroup of a free group is normal

Is being a contranormally closed subgroup a transitive property?

$G_{1}, G_{2} \triangleleft G$, $G_{1}G_{2} = G$, $G_{1} \cap G_{2} = \{ e \}$ implies $G_{1} \times G_{2} \cong G$?

For prime $p$, normal subgroups of $SL(2, \mathbb Z/p\mathbb Z)$ remains normal in $GL(2, \mathbb Z/p\mathbb Z)$?

The bound for $p$-length of $p$-solvable group

Group theory, subgroup of index 2

Proof verification: Every group of order n! contains non trivial normal subgroup (without Sylow)

Some doubts on special $p$-groups

Can there be more than one largest normal subgroup?

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