Abstract:The normaliser problem takes as input subgroups G and H of the symmetric group S n , and asks one to compute N G (H). The fastest known algorithm for this problem is simply exponential, whilst more efficient algorithms are known for restricted classes of groups. In this paper, we will focus on groups with many orbits. We give a new algorithm for the normaliser problem for these groups that performs many orders of magnitude faster than previous implementations in GAP. We also prove that the normaliser problem f… Show more
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