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Coset geometries with trialities and their reduced incidence graphs

par Leemans, Dimitri ;Stokes, Klara
Référence Acta Mathematica Universitatis Comenianae, 88, 3, page (911-916)
Publication Publié, 2019-09-01

Article révisé par les pairs

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Résumé :

In this article we explore combinatorial trialities of incidence geometries. We give a construction that uses coset geometries to construct examples of incidence geometries with trialities and prescribed automorphism group. We define the reduced incidence graph of the geometry to be the oriented graph obtained as the quotient of the geometry under the triality. Our chosen examples exhibit interesting features relating the automorphism group of the geometry and the automorphism group of the reduced incidence graphs.