New posts in Normal Subgroups

Proving a group is a normal subgroup from its order

Is this explanation of normal subgroups and quotient groups correct?

Is $H$ a subgroup of $\Gamma$?

Understand part of a proof to show that if K is normal in G, then K is the kernel of a homomorphism

Let $\varphi : G \rightarrow G/N$. Prove/Dis-prove that there exists a right inverse of $\varphi$ that is *homomorphic*.

Finding low-index normal subgroups of finitely presented groups in GAP

Is a normal subgroup normal in a normal group?

Proving inverse image is a normal subgroup

(Normal) subgroups of different orders of a group of order $20.$

Proving isomorphic groups have the same number of subgroups.