Last Updated :2025/12/02

Cayley's theorem

Proper noun
Japanese Meaning
群論における定理で、任意の群Gがその要素に対する全置換群(対称群)の部分群に同型であることを示す定理。
What is this buttons?

講義で彼女は、任意の群がその元上で作用する対称群の部分群と同型であるというケイリーの定理を、抽象群を置換群に埋め込むことで説明した。

Quizzes for review

(group theory) The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G.

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Cayley's theorem

In the lecture, she illustrated Cayley's theorem by embedding an abstract group into the symmetric group on its elements.

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In the lecture, she illustrated Cayley's theorem by embedding an abstract group into the symmetric group on its elements.

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