Ideas of Group Theory in CP

Revision en1, by lelbaba, 2022-05-25 00:18:44

Hi everyone. I have been getting into abstract algebra out of interest and recommendation. When I read about permutations and their cyclic decomposition from group theory perspective, I have been trying to find other objects or common problems that often come up in competitive programming and can be viewed through the lens of group theory in a different perspective. So far I have only found burnside's lemma for counting problems. I am also looking for problems that may be simplified through isomorphism or other concepts that are fundamental in group theory.

Tags group theory, isomorphism, permutations

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  Rev. Lang. By When Δ Comment
en2 English lelbaba 2022-05-25 00:27:49 56
en1 English lelbaba 2022-05-25 00:18:44 594 Initial revision (published)