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List Question

"Every Group of order $216$ contains a normal subgroup of order $27$ or $9$

Centerless CR-radical: A Result Independent of the Axiom of Choice.

$G$ is abelian iff all the Sylow subgroups of $G$ are normal

lattice of subgroup

$gN = hN$ if and only if $g^{-1} h \in N$

Interesting property of dihedral group

Proving the identity of a group and the identity of the subgroup are the same

Group Theory : How is N Normal?

What Theorem/Lemma is used in the proof? (Cauchy Theorem-Abstract Algebra)

Normality subgroups of a normal group

In a group $G$, $bab^{-1}=a^{49} $. order of $a$ is smallest prime dividing order of $G$. What are the possibilities for $p$?

Sets, Subsets, Subgroups, Modulo 8

proving a subgroup is a subset of its inverse

Subgroup generated by two permutations

$|AxA|$ is a constant implies normal subgroup

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