what are some applications of group theory? Group theory seems to be rather abstract.
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See for finite groups: real world applications of finite group theory – amWhy Dec 22 '14 at 18:29
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wikipedia-ing http://en.wikipedia.org/wiki/Group_theory#Applications_of_group_theory – janmarqz Dec 22 '14 at 18:30
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I'm told that mathematical physics is crucially tied up with Lie groups. – MJD Dec 22 '14 at 18:30
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besides, abstractness is not a crippled stage :D – janmarqz Dec 22 '14 at 18:32
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1@amWhy: the OP doesn't mention finite – janmarqz Dec 22 '14 at 18:38
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@janmarqz Plenty of examples can be found there. See also all the related posts in the right-most column (heading: related). E.g. here, Group theory applications. – amWhy Dec 22 '14 at 18:45
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Burnsides lemma is useful for counting objects with many symmetries but whose symmetry groups for each object are not identical.
Hao S
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