On derangements in simple permutation groups

Let $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define $\delta (G) = |\Delta (G)|/|G|$ and $...

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Bibliographic Details
Main Authors: Timothy Burness, Marco Fusari
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425100649/type/journal_article
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