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...bijection]]s from a set <math>S</math> to itself (under the operation of [[function composition]]), where <math>S</math> is an <math>n</math>-element set. It is customary

...ication and the group of [[Inverse function|invertible functions]] under [[Function composition|composition]]. Group theory allows one to study such structures in a gener

...bre (set theory)|fibre]] over ''Q''. This is indeed an isogeny, and the [[function composition|composite]] <math>\phi \cdot \hat\phi</math> is just multiplication by ''d'