Last Updated :2025/11/30

Ree group

Noun
Japanese Meaning
リア群:ディンキン図の多重結合の向きを反転する特殊な自動写像を用いて構成された有限体上のリー型群であり、鈴木群の一般化として位置付けられる数学の対象。
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複数結合の向きを逆にするダイニン図の特異な自己同型から構成され、スズキ群を一般化する有限体上のリー型群の性質は、ねじれたリー型構成から生じる有限単純群の分類において重要な役割を果たした。

plural

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(mathematics) A group of Lie type over a finite field constructed from an exceptional automorphism of a Dynkin diagram that reverses the direction of the multiple bonds, generalizing the Suzuki group.

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Ree group

The properties of the Ree group played a crucial role in our classification of finite simple groups arising from twisted Lie-type constructions.

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The properties of the Ree group played a crucial role in our classification of finite simple groups arising from twisted Lie-type constructions.

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