维罗尼斯对偶超元的分裂性:快速证明

IF 0.5 4区 数学 Q3 MATHEMATICS Glasnik Matematicki Pub Date : 2023-12-27 DOI:10.3336/gm.58.2.12
Ulrich Dempwolff
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引用次数: 0

摘要

Satoshi Yoshiara 在 [7] 中证明了 \({\mathbb F}_2\) 上的 Veronesean 对偶超值是分裂类型的。迄今为止,还没有任何公开的证明表明在偶数特征的有限域上的 Veronesean 对偶超值是分裂类型的。 在本注释中,我们将给出这一事实的快速证明。
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Splitness of the Veronesean dual hyperovals: a quick proof
Satoshi Yoshiara shows in [7] that the Veronesean dual hyperovals over \({\mathbb F}_2\) are of split type. So far there exists no published proof that a Veronesean dual hyperoval over any finite field of even characteristic is of split type. In this note we give a quick proof of this fact.
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来源期刊
Glasnik Matematicki
Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
0.80
自引率
0.00%
发文量
11
审稿时长
>12 weeks
期刊介绍: Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.
期刊最新文献
On groups with average element orders equal to the average order of the alternating group of degree \(5\) \(CZ\)-groups with nonabelian normal subgroup of order \(p^4\) Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) The non-existence of a super-Janko group Splitness of the Veronesean dual hyperovals: a quick proof
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