Groups arise in nature as “sets of symmetries (of an object), which are closed under composition and under taking inverses”. For example, the symmetric group Sn is the group of all permutations (symmetries) of {1,...,n}; the alternating group A n is the set of all symmetries preserving the parity of the number of ordered pairs (did you really remember that one?); the dihedral group D2n is the group of symmetries of the regular n-gon in the plane.
Related Journals of Representation theory
Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences, Journal of the American Mathematical Society, Acta Numerica, Inventiones Mathematicae, Publications matheÃŒÂÂmatiques, Acta Mathematica, Communications on Pure and Applied Mathematics, Swarm and Evolutionary Computation, Duke Mathematical Journal ,Archive for Rational Mechanics and Analysis,Journal of the European Mathematical Society, American Journal of Mathematics,Annales Scientifiques de l'Ecole Normale Superieure,Journal fur die Reine und Angewandte Mathematik, Bulletin of the American Mathematical Society,Biometrika, Advances in Mathematics,Mathematical Programming,Statistical ScienceJournal of Biometrics & Biostatistics,
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