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

FKS examples againAGL(1, p 2 ) ∼ = C 2 p ⋊ C p 2 −1Stabiliser of a line is isomorphic to C p ⋊ C p−1G 1 = C p 2 −1 GL(2, p), W a 1-dimensional subspace, H 1 = C p−1