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We show that given generators for subgroups   G   and   H   of    S  n   , if   G   is primitive then generators forN  H    (  G  )may be computed in quasipolynomial time, namely    2   O  (   log  3   n  )    . The previous best known bound was simply exponential.

Normalisers of primitive permutation groups in quasipolynomial time