On 2-transitive 3-nets |
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Authors: | Arrigo Bonisoli |
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Institution: | (1) Dipartimento di Matematica, Università delia Basilicata, via N. Sauro 85, 85100 Potenza, Italy |
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Abstract: | A 3-net is said to be 2-transitive if it admits a group of direction-preserving automorphisms fixing one of the transversal lines and acting 2-transitively on its points. We classify the 2-transitive finite 3-nets which do not admit a proper 2-transitive 3-subnet, except, possibly, for a subnet of order 2. The result is then extended under a weaker assumption.To Prof. Walter Benz and Prof. Jakob Joussen on their 60th birthdaywork done within the activity of GNSAGA of CNR and supported by the Italian Ministry for Research and Technology. |
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