Dimensional dual hyperovals with doubly transitive automorphism groups

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• 作者：Satoshi Yoshiara
• 刊名：European Journal of Combinatorics
• 出版年：2009
• 出版时间：April 2009
• 年：2009
• 卷：30
• 期：3
• 页码：747-757
• 全文大小：631 K

文摘

It is shown that if a d-dimensional dual hyperoval over GF(q) has a doubly transitive automorphism group G, then either q=2 and G is of affine type, or q=4, d=2 and GM₂₂ or M₂₂.2. This improves the results in [C. Huybrechts, A. Pasini, Flag-transitive extensions of dual affine spaces, Contrib. Algebra Geom. 40 (1999) 503–532] in the following sense: q is shown to be even, and the shape of G is strongly restricted, including the case q=2.