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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For now the playlist will remain unlisted as I don't want to clutter my page with playlists that have very few videos. But it is my vision to not only have very thorough playlists for every math subject, but also full companion playlists of exercises. Appreciate your support in this burdensome task!

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Thanks, very easy to understand and helpful

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If we have t=2+3w(omega) as w^2=1 and we have mod 67 then what is t^2 ? As I have to show it is cyclic as it gives t^66 =(1, 0). Waiting for your response.

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