Article ID Journal Published Year Pages File Type
4655277 Journal of Combinatorial Theory, Series A 2015 17 Pages PDF
Abstract
We explain the connection between dual pseudo-ovals and elation Laguerre planes and show that an elation Laguerre plane is ovoidal if and only if it arises from an elementary dual pseudo-oval. The main theorem of this paper shows that a pseudo-(hyper)oval in PG(3n−1,q), where q is even and n is prime, such that every element induces a Desarguesian spread, is elementary. As a corollary, we give a characterisation of certain ovoidal Laguerre planes in terms of the derived affine planes.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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