Projective spread sets |
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| Authors: | L R A Casse Christine M O'Keefe |
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| Institution: | (1) Department of Pure Mathematics, The University of Adelaide, G.P.O. Box 498, 5001 Adelaide, S.A., Australia;(2) Department of Mathematics, The University of Western Australia, 6009 Nedlands, W.A., Australia |
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| Abstract: | In this paper the notion of a spread set for at-spread ofPG(2t+1,q) is generalised and it is shown that certaint-spreads ofPG(n, q) correspond to these generalised spread sets. Then a projective spread set is defined and it is shown that anyt-spread ofPG(n, q) corresponds to a projective spread set. Connections between the spread set and the projective spread set of at-spread are discussed, in particular in the case of at-spread ofPG(2t + 1,q) the spread set and the projective spread set are equivalent, giving a new and straightforward construction of a spread set. The methods developed are used to show, with the aid of a computer, that the 1-packing ofPG(7,2) constructed by Baker is regulus-free.Dedicated to Professor Giuseppe Tallini on the occasion of his 60th birthday |
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