On derangements and suborbits in finite transitive groups

DOI10.1016/j.disc.2024.114032zbMATH Open1540.20003MaRDI QIDQ6542050

Marco Barbieri, Pablo Spiga

Publication date: 21 May 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

permutationderangementvertex-transitivitybounded valencysubdegree

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for finite permutation groups (20B05)

Cites Work

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• On the number of fixed point free elements in a permutation group
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• Derangements in subspace actions of finite classical groups
• FIXED-POINT-FREE PERMUTATIONS IN TRANSITIVE PERMUTATION GROUPS OF PRIME-POWER ORDER
• On a theorem of Jordan
• Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture
• Finite transitive groups having many suborbits of cardinality at most 2 and an application to the enumeration of Cayley graphs

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