English Dictionary

symmetric group

名詞

(mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.

日本語の意味

対称群：集合のすべての全単射（自己全単射）を元とし、これらの写像の合成を演算とする数学的群。

The symmetric group on three elements is generated by a transposition and a 3-cycle.

3要素上の対称群は、1つの転置と1つの3周期によって生成される。

意味（1）

(mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.

symmetric groups （ plural ）