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Math Puzzle

Name: 4tran 2007-07-24 21:30 ID:wlW2qMnz

warning: heavy abstract algebra ahead

Is it true that GL_n(Z_2) is isomorphic to the permutation group S_((2^n)-1)?

It's trivally true for n=1, and our instructor showed us a clever proof for n=2.  Given the way he proved it for n=2, I made this conjecture.  Thoughts?

Name: Anonymous 2007-07-24 22:46 ID:yHcOA1m0

GL_3(Z_2) has less than 512 elements, and S_(2^3 - 1) = S_7 has 5040 elements.

Name: Anonymous 2007-07-24 22:55 ID:y9RV1slC

heavy abstract algebra, meet light combinatorics.

Name: Anonymous 2007-07-24 23:09 ID:ZL83iM1A

>>3

Name: 4tran 2007-07-24 23:45 ID:wlW2qMnz

>>2
Damn, I got ownd.  Thanks.

Name: Anonymous 2009-03-18 3:31

Don't call me gay, but I need some mary jay!

Marijuana MUST be legalized.
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