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## Main Question or Discussion Point

G,H be groups(finite or infinite)

Prove that if (G)=n, then there exist some normal subgroup K of G (G:K)≤n!

example) let G=A5, H=A4 then (G)=5, then K={id} exists, (G:K)≤5!

Prove that if (G)=n, then there exist some normal subgroup K of G (G:K)≤n!

example) let G=A5, H=A4 then (G)=5, then K={id} exists, (G:K)≤5!