Open Access
2005 Circle geometry and three-dimensional subregular translation planes
Craig Culbert, Gary L. Ebert
Innov. Incidence Geom. 1: 3-18 (2005). DOI: 10.2140/iig.2005.1.3

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.

Citation

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Craig Culbert. Gary L. Ebert. "Circle geometry and three-dimensional subregular translation planes." Innov. Incidence Geom. 1 3 - 18, 2005. https://doi.org/10.2140/iig.2005.1.3

Information

Received: 19 August 2004; Accepted: 1 December 2004; Published: 2005
First available in Project Euclid: 26 February 2019

zbMATH: 1110.51002
MathSciNet: MR2213951
Digital Object Identifier: 10.2140/iig.2005.1.3

Subjects:
Primary: 51A40 , 51B10

Keywords: algebraic pencils , circle geometries , subregular translation planes

Rights: Copyright © 2005 Mathematical Sciences Publishers

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