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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 118–123
DOI: https://doi.org/10.1134/S0371968516010076 (Mi tm3690) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Conjugacy classes of derangements in finite transitive groups

Robert M. Guralnick

Department of Mathematics, University of Southern California, Los Angeles, CA 90089-2532, USA
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DOI: https://doi.org/10.1134/S0371968516010076
Abstract: Let GG be a permutation group acting transitively on a finite set ΩΩ. We classify all such (G,Ω)(G,Ω) when GG contains a single conjugacy class of derangements. This was done under the assumption that GG 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.
Funding agency Grant number
National Science Foundation DMS-1302886
The author was partially supported by the NSF grant DMS-1302886. He would like to thank Tim Burness and the referee for a number of helpful comments.
Received: February 19, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 112–117
DOI: https://doi.org/10.1134/S0081543816010077
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: English
Citation: Robert M. Guralnick, “Conjugacy classes of derangements in finite transitive groups”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 118–123; Proc. Steklov Inst. Math., 292 (2016), 112–117
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    1. Emily V. Hall, “The quasiprimitive almost elusive groups”, Int. J. Algebra Comput., 34:05 (2024), 739  crossref
    2. Timothy C. Burness, Emily V. Hall, “Almost elusive permutation groups”, Journal of Algebra, 594 (2022), 519  crossref
    3. Emily V. Hall, “Almost elusive classical groups”, Journal of Pure and Applied Algebra, 226:11 (2022), 107086  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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