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Abstract Ovals of Order 9

Massimo Giulietti1, Elisa Montanucci1
1DIPARTIMENTO DI MATEMATICA E INFORMATICA, UNIVERSITA DEGLI STUDI DI PERUGIA, VIA VANVITELLI, 1, 06123 PERUGIA, ITALY

Abstract

In this paper, it is shown that there are exactly 5 non-isomorphic abstract ovals of order 9, all of them projective. The result has been obtained via an exhaustive search, based on the classification of the 1-factorizations of the complete graph with 10 vertices.