Vol. 1, 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
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 2640-7345
ISSN (print): 2640-7337
Author Index
To Appear
Other MSP Journals
Circle geometry and three-dimensional subregular translation planes

Craig Culbert and Gary L. Ebert

Vol. 1 (2005), No. 1, 3–18

Algebraic pencils of surfaces in a three–dimensional circle geometry are used to construct several infinite families of non-André subregular translation planes which are three–dimensional over their kernels. In fact, exponentially many such planes of a given order are constructed for both even and odd characteristic.

Mathematical Subject Classification 2000
Primary: 51A40, 51B10
Received: 19 August 2004
Accepted: 1 December 2004
Craig Culbert
Gary L. Ebert
University of Delaware
United States