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The case of equality in the Livingstone-Wagner theorem.

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Publication:1016151
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DOI10.1007/s10801-008-0130-7zbMath1228.20002OpenAlexW2000012304MaRDI QIDQ1016151

David M. Bundy, Sarah B. Hart

Publication date: 4 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-008-0130-7


zbMATH Keywords

partitionsnumbers of orbitsfinite permutation groupsLivingstone-Wagner theorem


Mathematics Subject Classification ID

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


Related Items (1)

Orbits on \(k\)-subsets of \(2\)-transitive simple Lie-type groups


Uses Software

  • GAP



Cites Work

  • Unnamed Item
  • Transitivity of permutation groups on unordered sets
  • Transitivity of finite permutation groups on unordered sets
  • Note on a theorem of Livingstone and Wagner
  • Groups Acting on Unordered Sets
  • An Interchange Property in Finite Permutation Groups
  • Orbits of Permutation Groups on Unordered Sets, II
  • Orbits of Permutation Groups on Unordered Sets




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