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Abstract Algebra: Groups

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2.22 Define f: {0,1,2,...,10} {0,1,2,...,10} by f(n)= the remainder after dividing by 11.

(I) Show that f is a permutation.
(II) Compute the parity of f.
(III) Compute the inverse of f.


Solution Summary

This solution is comprised of a detailed explanation to show that f is a permutation.