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No account of the symmetric group can be complete without mentioning the remarkable fact that the symmetric group of degree n (finite or infinite) has an outer automorphism if and only if n=6. Here are the definitions. An automorphism of a group G is a permutation p of the group which preserves products, that is,…
2. Yang, V.C., Galesic, M., McGuinness, H., & Harutyunyan, A. Dynamic system model predicts when social learners impair collective performance. Proceedings of the National Academy of Sciences 118, e2106292118 (2021).
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