Searching for semifield flocks
type: Item
instance of: scholarly article
title: Searching for semifield flocks
zbMATH Open document ID: 1027.51010
DOI: 10.1016/S0012-365X(02)00379-5
author: Ivano Pinneri
published in: Discrete Mathematics
publication date: 2003-03-16T00:00:00Z
review text: In the projective space \(PG(3,q)\) let \(K\) be a quadratic cone with vertex \(v\) ; a flock \(\mathcal {F}\) of \(K\) is a set of \(q\) disjoint conics partitioning \ \(K \setminus \{ v \}\). The interest in flocks is due to their links with many geometric objects. For instance a spread (i.e. a set of skew lines) of \(PG(3,q)\) can be associated to each flock of a quadratic cone of \ \(PG(3,q)\) ; in particular the flock is called a semifield flock if the translation plane associated to the flock via its spread is a semifield plane. Unfortunately the author does not obtain new semifield flocks, but obtains a complete classification of the investigated sets of flocks.
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 1882148
zbMATH Keywords: flocks of quadratic cones
zbMATH Keywords: \(q\)-clans
zbMATH Keywords: BLT-sets
reviewed by: Vito Abatangelo
MaRDI profile type: Publication
full work available at URL: s0012-365x(02)00379-5
OpenAlex ID: W1969870288
description: scientific article; zbMATH DE number 1882148