Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order

2024/02/29 by Giusy Monzillo, Monzillo, Giusy, Tim Penttila +3
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Coding theory and cryptography #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2402.19211

Abstract

We provide classification results for translation generalized quadrangles of order less or equal to 64, and hence, for all incidence geometries related to them. The results consist of the classification of all pseudo-ovals in PG(3n-1,2), for n=3,4, and that of the pseudo-ovals in PG(3n-1,q), for n=5,6, such that one of the associated projective planes is Desarguesian.

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