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    Coset geometries with trialities and their reduced incidence graphs


    Leemans, Dimitri and Stokes, Klara (2019) Coset geometries with trialities and their reduced incidence graphs. Acta Mathematica Universitatis Comenianae, 88 (3). pp. 911-916. ISSN 0862-9544

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    Abstract

    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.

    Item Type: Article
    Additional Information: Cite as: 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
    Keywords: Coset; geometries; trialities; incidence graphs;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Item ID: 14386
    Depositing User: Klara Stokes
    Date Deposited: 27 Apr 2021 14:38
    Journal or Publication Title: Acta Mathematica Universitatis Comenianae
    Publisher: Acta Mathematica Universitatis Comenianae
    Refereed: Yes
    URI:

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