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- W1667840263 abstract "Some new results on symplectic translation planes are given using their representation by spread sets of symmetric matrices. We provide a general construction of symplectic planes of even order and then consider the special case of planes of order with kernel containing , stressing the role of Brown's theorem on ovoids containing a conic section. In particular we provide a criterion for a symplectic plane of even order with kernel containing to be desarguesian. As a consequence we prove that a symplectic plane of even order with kernel containing and admitting an affine homology of order or a Baer involution fixing a totally isotropic -subspace is desarguesian. Finally a short proof that symplectic semifield planes of even order with kernel containing are desarguesian is given." @default.
- W1667840263 created "2016-06-24" @default.
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- W1667840263 date "2010-10-20" @default.
- W1667840263 modified "2023-09-26" @default.
- W1667840263 title "Symmetric spread sets" @default.
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- W1667840263 doi "https://doi.org/10.1285/i15900932v29n1supplp153" @default.
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