English Dictionary

free product

名詞

(mathematics) A group formed from others by concatenating their presentations (when those presentations are written with disjoint sets of generators).

日本語の意味

（数学）互いに素な生成子集合をもつ各群の表現（発表）を連結することによって得られる群、いわゆる自由積。

In algebraic topology, the free product of finitely presented groups often arises when computing the fundamental group of a space assembled from simpler pieces.

代数位相幾何学では、有限提示群の提示を互いに素な生成元で連結して得られる群（自由積）は、より単純な部分から組み立てられた空間の基本群を計算する際にしばしば現れる。

意味（1）

(mathematics) A group formed from others by concatenating their presentations (when those presentations are written with disjoint sets of generators).

free products （ plural ）