FINITE SPECIAL MOUFANG SETS OF ODD CHARACTERISTIC
FINITE SPECIAL MOUFANG SETS OF ODD CHARACTERISTIC
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奇特特征的有限特殊魔方集
DOI：
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发表时间：
2007
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通讯作者：
Yoav Segev
中科院分区：
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作者：
Yoav Segev
本文对奇特征的有限个特殊牟方集M（U，τ）进行了分类.德梅茨和作者在另一篇论文中处理了典型的2例。我们证明，使用初等手段，U是初等阿贝尔。然后证明了M（U，τ）是唯一的Moufang集，其小投射群是PSL2（|U|).本文的重点是获得初等证明。第三节讨论了任意Moufang集上的根子群，可能是独立的。
In this paper we classify finite special Moufang sets M(U, τ ) of odd characteristic. The characteristic 2 case was handled in another paper by De Medts and the author. We prove, using elementary means that U is elementary abelian. Then we show that M(U, τ ) is the unique Moufang set whose little projective group is PSL2(|U |). The emphasis of this paper is on obtaining elementary proofs. Section 3 deals with root subgroups in any Moufang set and may be of independent interest.