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Kirkman triple systems of order 21 with nontrivial automorphism group
- Source :
- Mathematics of Computation; 2002, Vol. 71 Issue: 238 p873-881, 9p
- Publication Year :
- 2002
-
Abstract
- There are 50,024 Kirkman triple systems of order 21 admitting an automorphism of order 2. There are 13,280 Kirkman triple systems of order 21 admitting an automorphism of order 3. Together with the 192 known systems and some simple exchange operations, this leads to a collection of 63,745 nonisomorphic Kirkman triple systems of order 21. This includes \textit{all} KTS(21)s having a nontrivial automorphism group. None of these is doubly resolvable. Four are quadrilateral-free, providing the first examples of such a KTS(21).
Details
- Language :
- English
- ISSN :
- 00255718 and 10886842
- Volume :
- 71
- Issue :
- 238
- Database :
- Supplemental Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Periodical
- Accession number :
- ejs2027002
- Full Text :
- https://doi.org/10.1090/S0025-5718-01-01372-2