PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
[parent] Viewing Correction to 'alternating group is a normal subgroup of the symmetric group'
Split entry? by rm50

Correction id: 12600
Filed on: 2007-06-23 12:25:15
Status: Accepted on 2007-08-04 12:45:00
Type: Addendum

Correction text:
While the theorem states only that An is normal in Sn, you actually prove it has index 2. You might want to move that outside the proof in a comment, or even in a second theorem, just to make it clear to the reader what is going on.

No comment from object owner CWoo.
Discussion
Style: Expand: Order:
forum policy
An has index 2 in Sn by mps on 2007-06-23 23:33:57
rm50 wrote:
>While the theorem states only that An is normal in Sn, you
>actually prove it has index 2. You might want to move that
>outside the proof in a comment, or even in a second
>theorem, just to make it clear to the reader what is going
>on.

It would also be good to ensure that there is a link (auto
or manual) to the entry ASubgroupOfIndex2IsNormal .
[ reply | up ]

Interact
new correction | post message