Last Updated :2025/11/26

group action

Noun
countable uncountable
Japanese Meaning
群作用:数学において、ある群の各元が対象(集合、空間、その他の数学的対象)に作用し、その作用が群の演算と整合的に定義されたもの。 / 群論の文脈で、対象の各成分が群の元に対応した置換または変換を受けるような写像(作用)を意味する。
What is this buttons?

教授は群の作用(群から集合の置換群への準同型として与えられる写像)を用いて、対称性が多角形の頂点をどのように置換するかを示した。

plural

Quizzes for review

(group theory) A mapping of a mathematical group to the permutations of an object that is compatible with the group operation.

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group action

The professor used a group action to demonstrate how the symmetries permute the vertices of the polygon.

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The professor used a group action to demonstrate how the symmetries permute the vertices of the polygon.

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