Work

Line spreads of W(2n-1, q), q even

Year: 2026

Type: preprint

Abstract: Let q be an even prime power and n \ge 2. We construct line spreads of the symplectic polar space W(2n-1,q) by replacing pairwise disjoint reguli in a Desarguesian line spread. The construction is based on partitions of the points of PG(n-1,q^2) into points of a nondegenerate Hermitian variety and Baer sublines meeting that variety in exactly one point. In the plane case, the partition is invariant under a cyclic group of order q^2-q+ 1.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.23664

Authors: Bartoli, Daniele, Cossidente, Antonio, Marino, Giuseppe, Pavese, Francesco

Institutions: University of Perugia, University of Basilicata, University of Naples Federico II, Polytechnic University of Bari

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W7222943644

Cites: 5

Cited by:

Related to: 10