Vol. 1, No. 1, 2005

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Circle geometry and three-dimensional subregular translation planes

Craig Culbert and Gary L. Ebert

Vol. 1 (2005), No. 1, 3–18
Abstract

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
Milestones
Received: 19 August 2004
Accepted: 1 December 2004
Authors
Craig Culbert
Gary L. Ebert
University of Delaware
DE
United States