English

Finding a cycle base of a permutation group

Group Theory 2017-02-20 v1

Abstract

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 nn can be constructed in polynomial time in~nn.

Keywords

Cite

@article{arxiv.1702.05292,
  title  = {Finding a cycle base of a permutation group},
  author = {Mikhail Muzychuk and Ilia Ponomarenko},
  journal= {arXiv preprint arXiv:1702.05292},
  year   = {2017}
}
R2 v1 2026-06-22T18:21:05.105Z