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Fixed point free elements of prime order - School of Maths and Stats ...

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Priming Construction IIUsing the FKS examples as a starting <strong>point</strong>, we get elusive groupsfor all degreesp2 n r j 11 . . . r tjtwhere• p Mersenne,• 2 n > p,• r 1 , . . . , r t are distinct odd <strong>prime</strong>s dividing p − 1,• j i ≥ 0.Using Hensel lifting construction can also multiply by powers <strong>of</strong> p.

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