- #1
emptyboat
- 28
- 1
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
![Gah! :H :H](/styles/physicsforums/xenforo/smilies/arghh.png)
example) let G=A5, H=A4 then (G
![Gah! :H :H](/styles/physicsforums/xenforo/smilies/arghh.png)