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What is the real life application of group theory other than coding and cryptography if any and how can one apply group theory to them.

J. W. Tanner
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Fagbile IfeOluwa
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  • One often used place is to model symmetric relationships. This is often used together with group actions, for example. – gt6989b Apr 08 '21 at 12:18
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    Related. –  Apr 08 '21 at 12:24
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    My question is: is there a real-life application of live homo sapiens outside of coding? –  Apr 08 '21 at 12:28
  • Search by Group Theory applied to Chemistry and Fisics. I can't give you a complete answer because I'm a graduate student on Group Theory but I don't develop research on applied Group Theory. I hope this helps. – Mateus Figueiredo Apr 08 '21 at 12:41
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    Quantum physics uses groups. Eg, QCD uses SU(3), see https://physics.stackexchange.com/q/108641/123208 – PM 2Ring Apr 08 '21 at 12:59
  • @MoisheKohan Well, not all groups are finite... – user1729 Apr 08 '21 at 13:00
  • @user1729: Of course, but in this case OP needs to clarify that they are interested in infinite groups. Incidentally, there is a story about Conway and how all groups are finite! See here. – Moishe Kohan Apr 08 '21 at 13:10
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    Three-dimensional space groups are important in crystallography. https://en.wikipedia.org/wiki/Space_group – awkward Apr 08 '21 at 13:34

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Braid groups are a class of (infinite) groups whose nice geometric description lends themselves to some interesting applications, such as:

  1. Designing stirring rods [1, 2], which has applications in medicine (automatically stirring constituent (viscose) parts of a medicine).
  2. Pulling taffy [3]. In particular, analysing taffy pullers and making better ones. (The paper does not explicitly mention braid groups, but it is what is going on in the background.)
user1729
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