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.
|
Text (Post-print (refereed))
1954.pdf Download (205kB) | Preview |
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.
Metadata
| Item Type: | Article |
|---|---|
| Additional Information: | The original publication is available at www.springerlink.com |
| 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 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/1954 |
Statistics
Downloads
Activity Overview
6 month trend
6 month trend
Additional statistics are available via IRStats2.
Archive Staff Only (login required)
Edit/View Item