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Math Help - Let G and H be the following subgroups of GL(2; R):

  1. #1
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    Let G and H be the following subgroups of GL(2; R):

    Let G and H be the following subgroups of GL(2, R):
    G ={ [a b,0 1 ] | a and b are in R and a is not equal to 0} and H={ [ 1 b ,0 1 ] | b is in R}




    :
    (a) Prove that H is normal in G.
    (b) Use the First Isomorphism Theorem to prove that G=H is isomorphic to R the
    group of nonzero real numbers under multiplication.
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  2. #2
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    Re: Let G and H be the following subgroups of GL(2; R):

    Hi,
    I hope maybe by now you have been able to prove the result. However, here is a solution with just a couple of details omitted:

    Let G and H be the following subgroups of GL(2; R):-mhfgroups13.png
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