- #1

- 21

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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!

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- Thread starter emptyboat
- Start date

- #1

- 21

- 0

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!

- #2

- 330

- 3

- #3

- 330

- 3

Actually you have (G:K)|n! which is sometimes more useful.

- #4

- 21

- 0

Thanks a lot Martin. I understand it.

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