Fixed point free elements of prime order - School of Maths and Stats ...
Fixed point free elements of prime order - School of Maths and Stats ...
Fixed point free elements of prime order - School of Maths and Stats ...
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Hensel lifting constructionCameron-MG-Jones-Kantor-Klin-Marušič-Nowitz (2002)• V , G 1 , W <strong>and</strong> H 1 as in affine construction.• V dimension d over GF(p).• W dimension k.Then for any m > 1, the action <strong>of</strong> (C p m) d ⋊ G 1 on the set <strong>of</strong>cosets <strong>of</strong> (C p m) k ⋊ H 1 is elusive <strong>of</strong> degree p km |G 1 : H 1 |.This takes elusive groups <strong>of</strong> degree d <strong>and</strong> builds new ones withdegree p m d.
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