semidirect product

Noun

(group theory) A generalisation of direct product such that, in one of two equivalent definitions, only one of the subgroups involved is required to be a normal subgroup.

Japanese Meaning

群論において、直積の一般化。2つの部分群のうち、片側のみが正規部分群となるという条件のもとで形成される積の構造。 / 直積の構造に類似しながら、一方の部分群だけが正規性を持つ点で区別される群の合成方法。

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Google Translation / DeepL Translation

その壁紙模様の対称群は、平行移動部分群と点群の半直積として表現できる。

Details

Sense（1）

(group theory) A generalisation of direct product such that, in one of two equivalent definitions, only one of the subgroups involved is required to be a normal subgroup.

Google Translation / DeepL Translation

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semidirect products

（ plural ）

Details

semidirect product

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