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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Locally quasiprimitive graphs IITheorem (Praeger 1985)Let Γ be a finite connected G-vertex-transitive,G-locally-quasiprimitive graph <strong>and</strong> let 1 ≠ N ⊳ G. If N has atleast three vertex-orbits then it is semiregular.CorollaryEither G contains a semiregular subgroup, or G is quasiprimitive orbiquasiprimitive on vertices.