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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Official URL: http://dx.doi.org/10.1007/s10801-008-0130-7
Abstract
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 |
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| Additional Information: | The original publication is available at www.springerlink.com |
| 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 |
| URI: | http://eprints.bbk.ac.uk/id/eprint/1954 |
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