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,…
Companion webpage to the book “Mathematics for Machine Learning”. Copyright 2020 by Marc Peter Deisenroth, A. Aldo Faisal, and Cheng Soon Ong. Published by Cambridge University Press.
S. Oviatt, A. Cohen, and N. Weibel. Proceedings of the 15th ACM on International Conference on Multimodal Interaction, page 563--568. New York, NY, USA, ACM, (2013)Workshop.