On finite permutation groups with the same orbits on unordered sets

DOI10.1007/BF01194888zbMath0582.20001OpenAlexW2012402255MaRDI QIDQ1068929

Ascher Wagner, Johannes Siemons

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194888

zbMATH Keywords

orbitsorbit equivalencefinite primitive permutation groupclassification of 3- transitive groups

Mathematics Subject Classification ID

Primitive groups (20B15) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Related Items

Regular sets and geometric groups, Orbit closed permutation groups, relation groups, and simple groups, Orbit-equivalent infinite permutation groups., Orbits on \(k\)-subsets of \(2\)-transitive simple Lie-type groups, Invariance groups of finite functions and orbit equivalence of permutation groups., On orbit equivalent permutation groups, On groups with no regular orbits on the set of subsets

Cites Work

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• On partitions and permutation groups on unordered sets
• Transitivity of finite permutation groups on unordered sets
• \(k\)-homogeneous groups
• An Interchange Property in Finite Permutation Groups
• Set-Transitive Permutation Groups