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:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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