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arxiv: 1702.05292 · v1 · pith:MXNUNXRSnew · submitted 2017-02-17 · 🧮 math.GR

Finding a cycle base of a permutation group

classification 🧮 math.GR
keywords basecyclegrouppermutationconstructedcyclicdefineddegree
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A cycle base of a permutation group is defined to be a maximal set of its pairwise non-conjugate regular cyclic subgroups. It is proved that a cycle base of a permutation group of degree $n$ can be constructed in polynomial time in~$n$.

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