Intersection Numbers of the Natural Embedding of the Twisted Triality Hexagon T(q3,q) in PG(7,q3)

ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon in . We begin by describing the possible intersections of subspaces of with . Then, we provide conditions on a set of lines , which ensure that forms the line set of a naturally embedded twisted triality hexagon. This work follows up on similar results for the split Cayley hexagon by J. A. Thas and H. Van Maldeghem (2008) and F. Ihringer (2014).

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Publication Details

Journal
Journal of Combinatorial Designs
Published
2026-04-06
DOI
https://doi.org/10.1002/jcd.70014
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
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article

Intersection Numbers of the Natural Embedding of the Twisted Triality Hexagon T(q3,q) in PG(7,q3)

Geertrui Van de Voorde
Journal of Combinatorial Designs
Finite Group Theory Research
article

Intersection Numbers of the Natural Embedding of the Twisted Triality Hexagon T(q3,q) in PG(7,q3)

Geertrui Van de Voorde
article en

Abstract

ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon in . We begin by describing the possible intersections of subspaces of with . Then, we provide conditions on a set of lines , which ensure that forms the line set of a naturally embedded twisted triality hexagon. This work follows up on similar results for the split Cayley hexagon by J. A. Thas and H. Van Maldeghem (2008) and F. Ihringer (2014).

Journal of Combinatorial Designs
University of Canterbury (NZ)
Openalex Percentile: Top 14%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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Intersection Numbers of the Natural Embedding of the Twisted Triality Hexagon T(q3,q) in PG(7,q3) — Geertrui Van de Voorde · Journal of Combinatorial Designs (2026) | TGRS Research Map | TGRS