Vol. 2, No. 1, 2005

Download this article
Download this article For screen
For printing
Recent Issues
Volume 18
Volume 16
Volume 15
Volume 14
Volume 13
Volume 12
Volume 11
Volume 10
Volume 9
Volume 8
Volume 6+7
Volume 5
Volume 4
Volume 3
Volume 2
Volume 1
The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN (electronic): 2640-7345
ISSN (print): 2640-7337
Author Index
To Appear
Other MSP Journals
An arc partition of the Hughes plane using a field-theoretic model

Roland D. Baker and Kenneth L. Wantz

Vol. 2 (2005), No. 1, 83–92
DOI: 10.2140/iig.2005.2.83

Nearfield models for PG(2,q2) and the Hughes plane of order q2, based on the well-known field-theoretic model of PG(2,q2), are described. By way of the correspondences between these models, certain unitals, ovals, and a Baer subplane are easily described in the Hughes plane. Moreover, a partition of the Hughes plane into maximal (q2 q + 1)-arcs is presented.

nearfield, arc partition, Hughes plane
Mathematical Subject Classification 2000
Primary: 51E20, 51E21
Received: 7 February 2005
Accepted: 31 August 2005
Roland D. Baker
Kenneth L. Wantz