It was a moment to remember. The second last hurdle has been crossed. There’s left only to show the existence of a group G = HK such that H and K are both not normal (in G) but yet each of them solvable. G should not be solvable.
I can only start by considering nonabelian groups, yukk!!
This is how doing group theory for one whole week feels like:
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA = A^41 ?????
(hehehehe…..)
Comment by marcus — October 21, 2005 @ 11:36 am