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mobius70
Joined: 24 Jan 2008
Posts: 19
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| Posted: Thu Jul 10, 2008 3:54 pm Post subject: Help! Interesting Group Problem |
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Hi
Please help me with this abstract algebra problem.
Let G be the set of all 2X2 matrices such that it's elements are integers modulo p, p is a prime number.
Determinant of matrix is not zero.
It is given that G forms a non-abelian finite group.
The question is for any prime p, what is the order of G.
e.g. in special case of p = 3 , order is 48.
If it helps, this is problem # 2.2.9 from Topics in Algebra (Herstein book second edition). |
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lime
Joined: 04 Dec 2007
Posts: 46
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| Posted: Fri Jul 11, 2008 10:30 am Post subject: |
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Hi Mobius! Nice to see the person in the middle of the hot summer, preparing for autumn tests.
We actually already have solved this problem before (problem 5). |
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diman
Joined: 15 Jul 2008
Posts: 2
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| Posted: Tue Jul 15, 2008 5:14 pm Post subject: |
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Hi, guys
It looks like I’ll need math GRE to improve my resume  ) if I have any questions would you mind to help me?
my math' background is on russian, so I'll have to start from the very begining |
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mathsubboy
Joined: 20 Jul 2008
Posts: 10
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| Posted: Mon Jul 21, 2008 2:18 am Post subject: ok |
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| you are welcome! |
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