pith. sign in

arxiv: 1603.07557 · v1 · pith:VSLRC5UCnew · submitted 2016-03-24 · 🧮 math.SG

A geometric proof of Wilbrink's characterization of even order classical unitals

classification 🧮 math.SG
keywords classicaldistinctevengeometricorderproofwilbrinkabsence
0
0 comments X
read the original abstract

Using geometric methods and without invoking deep results from group theory, we prove that a classical unital of even order $n\geq4$ is characterized by two conditions (I) and (II): (I) is the absence of O'Nan configurations of four distinct lines intersecting in exactly six distinct points; (II) is a notion of parallelism. This was previously proven by Wilbrink (1983), where the proof depends on the classification of finite groups with a split BN-pair of rank 1.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.