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larryhammick at telus dot net
At Wiki I do a little on mathematics and a fair amount on Islamist, mostly Sunni, terrorism.
Below is my official secret Testing Ground.
A circular permutation on a set of k elements has sign .
Let i be the order of m in .
The permutation consists of
orbits, each of size i, whence
If i is even then and so
If i is odd then 2i divides p-1, so
In both cases, Zolotarev's lemma follows from Euler's Criterion.