The proportion of derangements characterizes the symmetric and alternating groups

DOI10.1112/blms.12639zbMath1522.20021arXiv2107.02724OpenAlexW3205162251MaRDI QIDQ6133415

Bjorn Poonen, Kaloyan Slavov

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02724

zbMATH Keywords

fixed pointssymmetric groupspermutation groupsalternating groupsmonodromy groupsproportion of derangements

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Finite ground fields in algebraic geometry (14G15) Radix representation; digital problems (11A63) Coverings in algebraic geometry (14E20) Subgroups of symmetric groups (20B35) Homogeneous approximation to one number (11J04) Characterization theorems for permutation groups (20B10)

Related Items (1)

Derangements in wreath products of permutation groups

Cites Work

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• Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields
• The Exceptional Locus in the Bertini Irreducibility Theorem for a Morphism
• Exponential diophantine equations

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