Скачать или смотреть A Cyclic Group of Permutations | Abstract Algebra Exercises

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

All About Subgroups:    • All About Subgroups | Abstract Algebra  
Permutation Groups:    • Permutation Groups and Symmetric Groups | ...  
Cyclic Groups:    • Cyclic Groups, Generators, and Cyclic Subg...  

Abstract Algebra Course:    • Abstract Algebra  
Abstract Algebra Exercises:    • Abstract Algebra Exercises  

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