Innovations in Incidence Geometry
- Innov. Incidence Geom.
- Volume 2, Number 1 (2005), 1-34.
$j,k$-planes of order $4^3$
A new class of translation planes of order is constructed and studied. These planes are a generalization of the -planes discovered by Johnson, Pomareda and Wilke. These -planes may be André replaced and the -planes and the planes obtained by André replacement may be derived. There are thirteen new planes constructed and classified. Using ‘regular hyperbolic covers’, there are some new constructions of flat flocks of Segre varieties by Veronesians.
Innov. Incidence Geom., Volume 2, Number 1 (2005), 1-34.
Received: 31 March 2005
Accepted: 8 November 2005
First available in Project Euclid: 28 February 2019
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Johnson, Norman L.; Vega, Oscar; Wilke, Fred W. $j,k$-planes of order $4^3$. Innov. Incidence Geom. 2 (2005), no. 1, 1--34. doi:10.2140/iig.2005.2.1. https://projecteuclid.org/euclid.iig/1551323257