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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Primitive groups <strong>and</strong> generalisationsLet G Sym(Ω) transitive• G is primitive if there are no nontrivial partitions <strong>of</strong> Ωpreserved by G.• G is quasiprimitive if all nontrivial normal subgroup <strong>of</strong> G aretransitive.• G is biquasiprimitive if G is not quasiprimitive <strong>and</strong> allnontrivial normal subgroups have at most two orbits.