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Abstract Algebra

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/0:
Prove that a group in which every element except the identity element has order 2 is abelian.

...



for ...

I can't seem to get

thanks...

QuantumJG:
Well I'm doing group theory next semester so I 'should' know the answer to this by next semester.

/0:
Cool, I think group theory is gonna be pretty interesting. I've started reading Michael Artin's 'Algebra', which we're using next semester. Do you know which text you're using?

QuantumJG:
Our prescribed text is only the lecture notes. I'm also looking forward to this subject (despite looking at the exam and perceiving this to be my hardest maths subject), I'm also doing electromagnetism and optics and I'm also doing vector calculus (should help with electromagnetism and my previous physics subjects have kind of suffered from not having this background).

humph:

--- Quote from: /0 on July 07, 2010, 10:22:38 pm ---Prove that a group in which every element except the identity element has order 2 is abelian.

...



for ...

I can't seem to get

thanks...

--- End quote ---
Hint: show that for any (possibly nonabelian) group , for all .

Borger is a pretty good lecturer. Weird that he's changing texts though - the set text used to be Fraleigh. Dummit and Foote is supposed to be a decent abstract algebra text too.

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