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Two-transitive orbits in finite projective planes
Authors:Mauro?Biliotti  author-information"  >  author-information__contact u-icon-before"  >  mailto:mauro.biliotti@unile.it"   title="  mauro.biliotti@unile.it"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Eliana?Francot
Affiliation:(1) Department of Mathematics, University of Lecce, Via per Arnesano, 73100 Lecce, Italy
Abstract:The problem of classifying finite projective planes $$Pi $$ of order n with an automorphism group G and a point orbit $$mathcal{O}$$ on which G acts two-transitively is investigated in considerable detail, under the assumption that $$mathcal{O}$$ has length at last n. Combining old and new results a rather satisfying classification is obtained, even though some cases for orbit lengths n and n + 1 remain unsolved.
Keywords:51E15  20B25
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