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 IIITheorem (MG-Xu 2007)Every vertex-transitive, locally quasiprimitive graph has a fixed<strong>point</strong> <strong>free</strong> automorphism <strong>of</strong> <strong>prime</strong> <strong>order</strong>.CorollaryEvery 2-arc-transitive graph has a fixed <strong>point</strong> <strong>free</strong> automorphism <strong>of</strong><strong>prime</strong> <strong>order</strong>.CorollaryEvery arc-transitive graph <strong>of</strong> <strong>prime</strong> valency has a fixed <strong>point</strong> <strong>free</strong>automorphism <strong>of</strong> <strong>prime</strong> <strong>order</strong>.