Last Updated：2025/11/28

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(group theory) Any one of the 26 exceptional finite simple groups, which do not belong to any of the general, infinite categories specified by the classification theorem for finite simple groups.

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sporadic group

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Source Word

sporadic group

Noun

(group theory) Any one of the 26 exceptional finite simple groups, which do not belong to any of the general, infinite categories specified by the classification theorem for finite simple groups.

Japanese Meaning

分類定理で説明される一般的な無限族（例えば、循環群、交代群、リー群系）に属さず、例外的に存在する26個の有限単純群を指す。

What is this buttons?

The classification paper discussed how each sporadic group resists inclusion in the infinite families of simple groups.

Google Translation / DeepL Translation

その分類定理に関する論文は、それぞれの26個の例外的な有限単純群が単純群の一般的な無限族に属さないことを論じていた。

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Sense（1）

(group theory) Any one of the 26 exceptional finite simple groups, which do not belong to any of the general, infinite categories specified by the classification theorem for finite simple groups.

By the classification of finite simple groups in 1981 it is now known that every finite simple group is either cyclic of prime order, or an alternating group of degree 5 or bigger, or a simple group of Lie type as above, or one of 26 sporadic groups.

Google Translation / DeepL Translation

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sporadic groups

（ plural ）

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sporadic group

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