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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Elusive groupsWe say that a transitive permutation group is elusive if it has n<strong>of</strong>ixed <strong>point</strong> <strong>free</strong> <strong>elements</strong> <strong>of</strong> <strong>prime</strong> <strong>order</strong>.For example, M 11 acting on 12 <strong>point</strong>s.Existence <strong>of</strong> a fixed <strong>point</strong> <strong>free</strong> element <strong>of</strong> <strong>prime</strong> <strong>order</strong> is equivalentto existence <strong>of</strong> a semiregular subgroup.
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