Math Is Fun Forum

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

one group problem

somehow I feel that this problem's information is very insuffient, but I guess any set containing p+q can be eliminated.

the answer is e.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: one group problem

What I find a bit interesting is that the module structure of an abelian group doesn't add any information, but makes the above proposition more straightforward.

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: one group problem

sorry for the late reply,  what I dont understand is that it seems to be a group of under module something but it doesnt say anything

hmm that's an interesting proposition, first I doubted it because I overlooked the requirement that G is a group itself

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: one group problem

Use Bézout's identity to prove the proposition.

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."