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    The case of equality in the Livingstone-Wagner Theorem

    Bundy, D. and Hart, Sarah (2009) The case of equality in the Livingstone-Wagner Theorem. Journal of Algebraic Combinatorics 29 (2), pp. 215-227. ISSN 0925-9899.

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    Let G be a permutation group acting on a set Ω of size n∈ℕ and let 1≤k<(n−1)/2. Livingstone and Wagner proved that the number of orbits of G on k-subsets of Ω is less than or equal to the number of orbits on (k+1)-subsets. We investigate the cases when equality occurs.


    Item Type: Article
    Additional Information: The original publication is available at
    Keyword(s) / Subject(s): Livingstone-Wagner theorem, permutation groups, orbits, partitions
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Administrator
    Date Deposited: 17 Nov 2010 12:04
    Last Modified: 09 Aug 2023 12:30


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