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On the number of conjugacy classes of a permutation group

Group Theory 2014-07-23 v1
Authors: Attila Maróti , Martino Garonzi
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Abstract

We prove that any permutation group of degree n≥4n \geq 4 has at most 5(n−1)/35^{(n-1)/3} conjugacy classes.

Keywords

permutation groups conjugacy classes group theory finite groups bounds

Cite

@article{arxiv.1407.5827,
  title  = {On the number of conjugacy classes of a permutation group},
  author = {Attila Maróti and Martino Garonzi},
  journal= {arXiv preprint arXiv:1407.5827},
  year   = {2014}
}

Comments

9 pages

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