The non-existence of 𝔽 q -translation spreads of H ( q 2 )

Algebraic Combinatorics 2026 Open access

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Authors: Daniele Bartoli, Alessandro Giannoni, Massimo Giulietti, Giuseppe Marino
DOI: 10.5802/alco.456
Cited by: 0
References: 17

Abstract

Using the connection between translation spreads of the generalized hexagon H ( q ) and linear sets (see Cardinali et al. in Eur J Comb 23:367–376, 2002; Lunardon and Polverino in J Algebraic Comb 18:255–262, 2003), the non-existence of 𝔽 q -translation spreads of H ( q 2 ) when p > 3 , q = p h , and q is large enough is proven. This answers to a question posed in [Marino and Polverino in J Algebraic Comb 42:725-744, 2015].

Fields of Study & Subjects

Finite Group Theory Research Rings Modules and Algebras Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Algebraic Combinatorics
Volume
8
Issue
6
Pages
1603–1615
Publication date
6 January 2026
Language
EN