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Problem 1. Let X be a non-empty set, and let Sy be the set of all bijections from X to itself. If X= {1,2,3,4} then Sy i
Posted: Thu Apr 28, 2022 6:39 am
by answerhappygod
- Problem 1 Let X Be A Non Empty Set And Let Sy Be The Set Of All Bijections From X To Itself If X 1 2 3 4 Then Sy I 1 (46.62 KiB) Viewed 31 times
Problem 1. Let X be a non-empty set, and let Sy be the set of all bijections from X to itself. If X= {1,2,3,4} then Sy is denoted by S4. (i) Show that Sx forms a group under the composition of functions. (ii) Explain why the order of S4 is 24? (iii) Is S4 abelian? (iv) Is there an element of order 5 in S4? Solution: