|
| Author |
Message |
|
Alex
Frequent VisitorJoined: 03 Nov 2003Posts: 23
Location: CUHK
|
|
Posted: Tue Sep 21, 2004 11:21 am Post subject: An algebra problem
|
|
|
|
[tex]Just to stimulate discussion:
Let be a finite group and be its subset that contains . If the cosets , partition , prove that is a subgroup of .
|
|
|
|
|
|
Siutsz
Frequent VisitorJoined: 25 Dec 2003Posts: 31
Location: HK
|
|
Posted: Tue Sep 21, 2004 12:20 pm Post subject:
|
|
|
|
The cosets partition
so , or .
,
and , so
so
then
so
therefore is a subgroup. |
|
|
|
|
|
|
|
All times are GMT + 8 Hours
|
|
| |
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
|
|