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A Cyclic Group of Permutations | Abstract Algebra Exercises

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We consider a simple function and show it is a permutation of real numbers, then go on to prove the set of all such functions forms a cyclic subgroup of the symmetric group on the reals. We will have to prove our function is injective and surjective to show that it is bijective, then we will prove the set of all such functions under composition is a subgroup of the symmetric group of reals, then we will prove it is cyclic by finding a generator of the subgroup. #abstractalgebra #grouptheory
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Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
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