Prime order derangements in primitive permutation groups

Tim C Burness, Michael Giudici, Robert Wilson

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)


Let G be a transitive permutation group on a finite set Ω of size at least 2. An element of G is a derangement if it has no fixed points on Ω. Let r be a prime divisor of |Ω|. We say that G is r-elusive if it does not contain a derangement of order r, and strongly r- elusive if it does not contain one of r-power order. In this note we determine the r-elusive and strongly r-elusive primitive actions of almost simple groups with socle an alternating or sporadic group.
Original languageEnglish
Pages (from-to)158-178
Number of pages21
JournalJournal of Algebra
Publication statusPublished - 2011


Dive into the research topics of 'Prime order derangements in primitive permutation groups'. Together they form a unique fingerprint.

Cite this