Main Article Content
In this article we explore combinatorial trialities and r-alities 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, and more generally, under an r-ality. Our chosen examples exhibit interesting features relating the automorphism group of the geometry and the automorphism group of the reduced incidence graphs.
How to Cite
Leemans, D., & Stokes, K. (2019). Coset geometries with trialities and their reduced incidence graphs. Acta Mathematica Universitatis Comenianae, 88(3), 911-916. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1309/743