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5 votes
2 answers
193 views

Application of nonfamous finite groups in computer science [closed]

I have searched a lot about applications of finite groups in computer science. Most of the results include: Finite fields or groups of numbers coprime to $n$ which are widely used in cryptography and ...
MohammadJavad Vaez's user avatar
0 votes
2 answers
128 views

What are the other methods used to prove that a homomorphism is bijective?

The motivation can be found in: Show that $ℤ^{m}$ is a subgroup (and a free abelian group) of $ℤ^{n}$ for all $m≤n$. In a specified problem related to a dynamical system the only possibility is $m=n$...
DER's user avatar
  • 3,021
116 votes
8 answers
36k views

Are there real world applications of finite group theory?

I would like to know whether there are examples where finite group theory can be directly applied to solve real world problems outside of mathematics. (Sufficiently applied mathematics such as ...
Alexander Gruber's user avatar
  • 27.2k