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Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...the gnu function? Or: Symmetries are wild. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html Gnu. https://www.math.auckland.ac.nz/~obri... https://oeis.org/A000001 https://www.cambridge.org/core/books/... Prime power groups. https://groupprops.subwiki.org/wiki/G... Finite groups. https://en.wikipedia.org/wiki/Finite_... https://nlab-pages.s3.us-east-2.amazo... https://mathworld.wolfram.com/FiniteG... Lists of some finite groups. https://en.wikipedia.org/wiki/List_of... https://en.wikipedia.org/wiki/List_of... https://people.maths.bris.ac.uk/~maty... https://www.mimuw.edu.pl/~zbimar/smal... Symmetry groups. https://en.wikipedia.org/wiki/Symmetr... https://en.wikipedia.org/wiki/Molecul... https://www2.math.upenn.edu/~mlazar/m... https://math.hws.edu/eck/js/symmetry/... Symmetries are everywhere. https://en.wikipedia.org/wiki/Categor... https://www.lpthe.jussieu.fr/~talon/M... https://eclass.uoa.gr/modules/documen... Groups are everywhere. https://math.stackexchange.com/questi... https://math.stackexchange.com/questi... https://math.stackexchange.com/questi... https://www.mcgill.ca/oss/files/oss/s... Mathematica. https://demonstrations.wolfram.com/Nu... https://www.wolfram.com/mathematica/n... https://reference.wolfram.com/languag... Pictures used. http://www.magicalmaths.org/the-3-app... http://rwoodley.org/wp-content/upload... https://en.wikipedia.org/wiki/Rotatio... https://upload.wikimedia.org/score/q/... Picture from https://demonstrations.wolfram.com/Nu... Pictures from https://www.math.auckland.ac.nz/~obri... and https://www.cambridge.org/core/books/... YouTube and co. • How many finite groups are there?