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The case of equality in the Livingstone-Wagner Theorem

Bundy, D. and Hart, Sarah B. (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 or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
Depositing User: Administrator
Date Deposited: 17 Nov 2010 12:04
Last Modified: 17 Apr 2013 12:33

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