Email this article Conjugacy classes of derangements in finite transitive groups
- Authors: Guralnick R.M.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 292, No 1 (2016)
- Pages: 112-117
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173444
- DOI: https://doi.org/10.1134/S0081543816010077
- ID: 173444
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Abstract
Let G be a permutation group acting transitively on a finite set Ω. We classify all such (G, Ω) when G contains a single conjugacy class of derangements. This was done under the assumption that G acts primitively by Burness and Tong-Viet. It turns out that there are no imprimitive examples. We also discuss some results on the proportion of conjugacy classes which consist of derangements.
About the authors
Robert M. Guralnick
Department of Mathematics
Author for correspondence.
Email: guralnic@usc.edu
United States, Los Angeles, CA, 90089-2532
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