A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic

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2013

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Butler, D.

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Combinatorica: an international journal on combinatorics and the theory of computing, 2013; 33(2):161-179

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David K. Butler

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By counting and geometric arguments, we provide a combinatorial characterisation of the planes meeting the non-singular quadric of PG(4,q) in a conic. A characterisation of the tangents and generators of this quadric when q is odd has been proved by de Resmini [15], and we give an alternative using our result. © 2013 János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg.

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© 2013 Janos Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg

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