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.
On 2-transitive 3-nets / Bonisoli, Arrigo. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 41:(1991), pp. 42-57.
On 2-transitive 3-nets
BONISOLI, Arrigo
1991
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.
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