On symmetric (69,17,4)-designs admitting an action of Frobenius groups |
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| Institution: | 1. University of Eastern Finland, Finland;2. Tampere University, Finland;3. Gerontological Care, Åbo Akademi University, Finland;4. University of Turku, Finland;5. Turku University Hospital, Finland;6. Tampere University and Pirkanmaa Hospital District, Finland;7. University of Oulu, Finland;8. University of Eastern Finland, Helsinki social and health care, Finland |
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| Abstract: | The aim of this paper is to achieve the complete classification of (69,17,4)-designs admitting an action of any Frobenius group of automorphisms the kernel of which is isomorphic to one of the cyclic groups of order 13, 17 and 23. A positive result can be got only in the case of the nonabelian group of order 39, where the cyclic group of order 3 fixes exactly 9 points. |
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