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Show that any 2 groups of order 2 are isomorphic
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I've got 5 minutes. Basically, you want to take two generic order two group such as \(\{\{a,b\},*_1\}\) and \(\{\{c,d\},*_2\}\) where \(a\) and \(c\) are the respective identities.
If you show an isomorphism between these, it'll be enough for any 2 groups since these were chosen arbitrarily.
what the heck is an isomorphism though? Like I am not sure i get how to prove it
Given a function \(\varphi\), you need to show that \[\varphi(g*h)=\varphi(g)\cdot\varphi(h)\]and that \(\varphi\) is bijective.
ohhhhhhh
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Sorry, got to go now. I'm super busy :( Good luck.
THANKKSSSS
You're welcome.
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