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content	<p>Your browser does not support iframes.</p>
Creator	Gerard Michon
Description	A group is a monoid in which every element is invertible. The symmetries of an object form a group of transformations.
Title	Monoids and Groups. Group Theory and Symmetries - Numericana
Subject	Group Theory, symmetry, monoid, monoids, associative, associativity, neutral element, identity, unity, unital, unitary, commutative, commutativity, left coset, right coset, double coset, index of a subgroup, Lagranges's theorem, Sylow's theorem, sous-groupe distingue, alternating groups, sporadic groups, Jacques Tits group, Emile Mathieu, Georg Frobenius, Zvonimir Janko, Donald Higman, Charles Sims, Marshall Hall, D. Wales, Dieter Held, McLaughlin, Arunas Rudvalis, Michio Suzuki, Michael O'Nan, Dieter Held, John Conway, Simon Norton, Koichiro Harada, John Thompson, Walter Feit, Claude Chevalley, Bernd Fischer, Robert Griess, Daniel Gorenstein
links to	https://en.wikipedia.org/wiki/Lagrange%27s_theorem_(group_theory) https://en.wikipedia.org/wiki/Quasigroup https://en.wikipedia.org/wiki/Magma_(algebra) https://www.nobelprize.org/prizes/physics/1963/summary/ https://en.wikipedia.org/wiki/Lie_group https://en.wikipedia.org/wiki/Lie_group%E2%80%93Lie_algebra_correspondence https://en.wikipedia.org/wiki/John_G._Thompson https://en.wikipedia.org/wiki/Vladimir_Drinfeld https://www.youtube.com/watch?v=JX3VmDgiFnY https://en.wikipedia.org/wiki/Solvable_group https://en.wikipedia.org/wiki/Cauchy%27s_theorem_(group_theory) https://en.wikipedia.org/wiki/Sylow_theorems https://en.wikipedia.org/wiki/P-group https://en.wikipedia.org/wiki/Classification_of_finite_simple_groups https://en.wikipedia.org/wiki/Topological_group https://en.wikipedia.org/wiki/Symplectic_group https://en.wikipedia.org/wiki/Lorentz_group https://en.wikipedia.org/wiki/Burnside%27s_lemma https://en.wikipedia.org/wiki/Elliptic_curve_cryptography https://www.youtube.com/watch?v=TCcSZEL_3CQ https://en.wikipedia.org/wiki/Semidirect_product https://en.wikipedia.org/wiki/Feit%E2%80%93Thompson_theorem https://en.wikipedia.org/wiki/Ad_hoc https://en.wikipedia.org/wiki/Monoid https://en.wikipedia.org/wiki/Dirac_operator https://oeis.org/A000001 https://en.wikipedia.org/wiki/Group_theory https://en.wikipedia.org/wiki/Maxim_Kontsevich https://en.wikipedia.org/wiki/Modular_group https://en.wikipedia.org/wiki/Semigroup https://en.wikipedia.org/wiki/Erlangen_program https://en.wikipedia.org/wiki/Amenable_group https://oeis.org/A054397 https://en.wikipedia.org/wiki/List_of_finite_simple_groups https://oeis.org/A027851 https://oeis.org/A029851 https://en.wikipedia.org/wiki/William_Burnside https://en.wikipedia.org/wiki/Graham_Higman https://en.wikipedia.org/wiki/Baker%E2%80%93Campbell%E2%80%93Hausdorff_formula https://en.wikipedia.org/wiki/Generalizations_of_Pauli_matrices https://en.wikipedia.org/wiki/Sean_M._Carroll 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