Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 4A: Further Pure Mathematics 2 9FM0/4A

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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 4A: Further Pure Mathematics 2 9FM0/4A1. The group S4 is the set of all possible permutations that can be performed on the four numbers ... 1, 2, 3 and 4, under the operation of composition. For the group S4 (a) write down the identity element, (1) (b) write down the inverse of the element a, where a = 1 3 2 4 3 2 4 1   (1) (c) demonstrate that the operation of composition is associative using the following elements a = 1 3 2 4 3 2 4 1   b = 1 2 2 4 3 3 4 1   and c = 1 4 2 1 3 2 4 3   (2) (d) Explain why it is possible for the group S4 to have a subgroup of order 4 You do not need to find such a subgroup. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________ [Show More]

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