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Alex
Frequent VisitorJoined: 03 Nov 2003Posts: 22
Location: CUHK
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Posted: Tue Sep 21, 2004 11:21 am Post subject: An algebra problem
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[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 .
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Siutsz
Frequent VisitorJoined: 25 Dec 2003Posts: 31
Location: HK
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Posted: Tue Sep 21, 2004 12:20 pm Post subject:
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The cosets partition
so , or .
,
and , so
so
then
so
therefore is a subgroup. |
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