Well, I can start the lecture by giving an introduction to groups as
well as their extensions, rings and fields. We can then dwell on this
topic further and talk about applications in the meetup after this one.
Unless, any one of you wants to prepare a talk and demonstrate some
applications on this meetup.
Let me know, David
> On Thu, Jul 16, 2009 at 11:22 PM, Sal <[address removed]
> <mailto:[address removed]>> wrote:
> Well, there are many practical applications of group theory.
> Really? Then why is it whenever someone mentions the "practical uses
> of group theory" they *always* mention the same four topics:
> crystallography, the Standard Model of physics, error correction and
> cryptography? Based on probability alone I would expect to hear more
> than four topics mentioned by X mathematicians where X > 4.
> Channel coding theory and quantum error-correcting codes are two
> branches of science that are based on group theory.
> See! :-)
> In order to design an error correcting code that corrects
> information transmitted over public noise channel, one needs to
> find an Abelian group with certain properities.
> And another thing, while technically this is a 'practical' application
> and a very important one to boot, the last time I had to generate
> quantum error-correcting codes was, hmmm, let me see...oh that's
> right, NEVER!
> <tangent>What's the phrase I'm looking for? "Practical examples" or
> "practical applications" to mathematicians apparently means *any*
> application such as "quantum error-correcting codes". To the layman,
> that's not "practical". I'm not looking for an example of late
> Dirichlet allocation that I can use in the woodshop but I can look
> around me and see practical applications of Faraday's Laws (why do
> some wall outlets spark when you pull the plug?) , Pasteur's Germ
> Theory (the importance of clean water), Computer Science (the overly
> complicated Turing Machine that I'm typing on) and even calculus
> (compound interest). But of group theory? </tangent>
> And before that guy in the last row takes my statements too far, let
> me state for the record, no I don't think every statememnt in higher
> mathematics needs a practical, everyday application that you can point
> out to a four year old.
> Faber Fedor
> Linux New Jersey
> faberfedor.blogspot.com <http://faberfedor...;
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