Locally elusive classical groups

Tim Burness, Michael Giudici

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

1 Citation (Scopus)
157 Downloads (Pure)

Abstract

Let G be a transitive permutation group of degree n with point stabiliser H and let r be a prime divisor of n. We say that G is r-elusive if it does not contain a derangement of order r. The problem of determining the r-elusive primitive groups can be reduced to the almost simple case, and the purpose of this paper is to complete the study of r-elusivity for almost simple classical groups. Building on our earlier work for geometric actions of classical groups, in this paper we handle the remaining non-geometric actions where $H$ is almost simple and irreducible. This requires a completely different approach, using tools from the representation theory of quasisimple groups.
Original languageEnglish
Pages (from-to)343-402
Number of pages60
JournalIsrael Journal of Mathematics
Volume225
Early online date11 Apr 2018
DOIs
Publication statusPublished - Apr 2018

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