<h2 id="not_finished">2013–06–08</h2>
<h3>not finished</h3>
<p>I didn’t pass the exam, so months later, I’m back doing the groups again. Which might not be too bad a thing—I may be learning something. Something about myself <em>and</em> maths.</p>
<p>For the last few weeks I’ve been dipping my mental-toes into groups again, I’ve even done a wee bit of the geometry, hateful as it is, so that I can garner any low-hanging marks that might be gotten in the exam.</p>
<p>I had something of an epithany yesterday—I could read the handbook. Funny that I hadn’t thought of that before; perhaps there are other things that I should have done, like watch the videos, listen to the tapes or peruse the books that lie unregaded upon the bedroom floor? Maybe I should talk to my tutor? Go to the tutorials?</p>
<p>It, this epithany about the handbook, was something of an eye-opener, all those things that didn’t quite gel suddenly started to make [a bit-of] sense. For example: I must have known that the kernal of a homomorphism was a normal sub-group but let’s just say that it wasn’t at the forefront of my mind.</p>
<p>Once I knew this was a fact known to others it took me about five minutes to prove it from the morphism property…</p>
<p>…I wonder what else I know that I don’t properly remember?</p>
<p>Somewhere I wrote about my <a href="http://neilanderson.freehostia.com/thoughts/degree/m338_336/#blues">group theory blues</a> the thoughts have’t changed it is just that I might have. The dub theory of the blues? Same backing number, wrong singer.</p>
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Good luck
ps every normal subgroup is the kernel of some homomorphism. I don't know how they present it.
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